# zbMATH — the first resource for mathematics

## Quantum Topology

 Short Title: Quantum Topol. Publisher: European Mathematical Society (EMS) Publishing House, Zurich ISSN: 1663-487X; 1664-073X/e Online: https://www.ems-ph.org/journals/all_issues.php?issn=1663-487Xhttps://ems.press/journals/qt/read Comments: Indexed cover-to-cover
 Documents Indexed: 142 Publications (since 2010) References Indexed: 112 Publications with 2,345 References.
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#### Latest Issues

 11, No. 3 (2020) 11, No. 2 (2020) 11, No. 1 (2020) 10, No. 4 (2019) 10, No. 3 (2019) 10, No. 2 (2019) 10, No. 1 (2019) 9, No. 4 (2018) 9, No. 3 (2018) 9, No. 2 (2018) 9, No. 1 (2018) 8, No. 4 (2017) 8, No. 3 (2017) 8, No. 2 (2017) 8, No. 1 (2017) 7, No. 4 (2016) 7, No. 3 (2016) 7, No. 2 (2016) 7, No. 1 (2016) 6, No. 4 (2015) 6, No. 3 (2015) 6, No. 2 (2015) 6, No. 1 (2015) 5, No. 4 (2014) 5, No. 3 (2014) 5, No. 2 (2014) 5, No. 1 (2014) 4, No. 4 (2013) 4, No. 3 (2013) 4, No. 2 (2013) 4, No. 1 (2013) 3, No. 3-4 (2012) 3, No. 2 (2012) 3, No. 1 (2012) 2, No. 4 (2011) 2, No. 3 (2011) 2, No. 2 (2011) 2, No. 1 (2011) 1, No. 4 (2010) 1, No. 3 (2010) 1, No. 2 (2010) 1, No. 1 (2010)
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#### Authors

 5 Andersen, Jørgen Ellegaard 5 Khovanov, Mikhail G. 4 Lauda, Aaron D. 3 Beliakova, Anna 3 Ozsváth, Peter Steven 3 Sarkar, Sucharit 3 Szabo, Zoltan 2 Carqueville, Nils 2 Conant, James 2 Costantino, Francesco 2 Cui, Shawn Xingshan 2 Etingof, Pavel Il’ich 2 Freedman, Michael Hartley 2 Garoufalidis, Stavros 2 Golla, Marco 2 Gorsky, Eugene 2 Grossman, Pinhas 2 Jones, Vaughan Frederick Randal 2 Jordan, David Andrew 2 Kalfagianni, Efstratia 2 Kodiyalam, Vijay 2 Le, Thang Tu Quoc 2 Licata, Anthony M. 2 Lipshitz, Robert 2 Mackaay, Marco 2 Morita, Shigeyuki 2 Morrison, Scott 2 Ostrik, Victor Valentinovich 2 Petkova, Ina 2 Ramos, Vinicius Gripp Barros 2 Rowell, Eric C. 2 Rozansky, Lev 2 Runkel, Ingo 2 Rutherford, Dan 2 Sabloff, Joshua M. 2 Sakasai, Takuya 2 Savage, Alistair 2 Snyder, Noah 2 Teichner, Peter 2 Wagner, Emmanuel 2 Wang, Weiqiang 2 Wang, Zhenghan 1 Aiello, Valeriano 1 Asaeda, Marta M. 1 Askanazi, Ross 1 Baker, Kenneth L. 1 Banagl, Markus 1 Bao, Huanchen 1 Bartels, Arthur C. 1 Baseilhac, Stéphane 1 Behrens, Stefan 1 Benedetti, Riccardo 1 Blanchet, Christian 1 Bonahon, Francis 1 Borot, Gaëtan 1 Boyarchenko, Mitya 1 Brannan, Michael 1 Brochier, Adrien 1 Brundan, Jonathan 1 Carrega, Alessio 1 Cautis, Sabin 1 Cazassus, Guillem 1 Chang, Liang 1 Chantraine, Baptiste 1 Chen, Qi 1 Chen, Qingtao 1 Chen, Yanfeng 1 Chmutov, Sergei V. 1 Clark, Sean 1 Collinet, Gaël 1 Collins, Benoît 1 Comes, Jonathan 1 Conti, Roberto 1 Contreras, Eva 1 Cooper, Benjamin 1 Dasbach, Oliver T. 1 De, Sandipan 1 Detcherry, Renaud 1 Dimitroglou Rizell, Georgios 1 Ding, Fan 1 Douglas, Christopher L. 1 Drinfeld, Vladimir Gershonovich 1 Egilmez, Ilknur 1 Elias, Benjamin 1 Ellis, Alexander P. 1 Estill, Charles 1 Etgü, Tolga 1 Etnyre, John B. 1 Evans, David E. 1 Eynard, Bertrand 1 Frenkel, Igor B. 1 Frohman, Charles D. 1 Furusho, Hidekazu 1 Gammelgaard, Niels Leth 1 Geer, Nathan 1 Gelaki, Shlomo 1 Gilmer, Patrick M. 1 Gilmore, Allison 1 Gompf, Robert E. 1 Guillot, Pierre-Louis ...and 110 more Authors
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#### Fields

 106 Manifolds and cell complexes (57-XX) 27 Nonassociative rings and algebras (17-XX) 26 Category theory; homological algebra (18-XX) 23 Group theory and generalizations (20-XX) 21 Associative rings and algebras (16-XX) 20 Quantum theory (81-XX) 16 Differential geometry (53-XX) 12 Functional analysis (46-XX) 9 Algebraic geometry (14-XX) 6 Algebraic topology (55-XX) 4 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

116 Publications have been cited 1,096 times in 882 Documents Cited by Year
Fusion categories and homotopy theory. Zbl 1214.18007
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
2010
A categorification of quantum $$\text{sl}(n)$$. Zbl 1206.17015
Khovanov, Mikhail; Lauda, Aaron D.
2010
Fivebranes and knots. Zbl 1241.57041
Witten, Edward
2012
Minimal generating sets of Reidemeister moves. Zbl 1229.57012
Polyak, Michael
2010
All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials. Zbl 1335.57019
Borot, Gaëtan; Eynard, Bertrand
2015
Categorification of the Jones-Wenzl projectors. Zbl 1362.57015
Cooper, Benjamin; Krushkal, Vyacheslav
2012
Functoriality for Lagrangian correspondences in Floer theory. Zbl 1206.53088
Wehrheim, Katrin; Woodward, Chris T.
2010
Orbifold completion of defect bicategories. Zbl 1360.18007
Carqueville, Nils; Runkel, Ingo
2016
The Jones slopes of a knot. Zbl 1228.57004
Garoufalidis, Stavros
2011
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and $$3j$$-symbols. Zbl 1256.17006
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua
2012
Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Zbl 1236.57043
Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin
2010
Morita theory for finitary 2-categories. Zbl 1346.18009
Mazorchuk, Volodymyr; Miemietz, Vanessa
2016
Skein and cluster algebras of marked surfaces. Zbl 1375.13038
Muller, Greg
2016
Hecke algebras, finite general linear groups, and Heisenberg categorification. Zbl 1279.20006
Licata, Anthony; Savage, Alistair
2013
The embedding theorem for finite depth subfactor planar algebras. Zbl 1230.46055
Jones, Vaughan F. R.; Penneys, David
2011
A diagrammatic categorification of the $$q$$-Schur algebra. Zbl 1272.81098
Mackaay, Marco; Stošić, Marko; Vaz, Pedro
2013
Modular functors are determined by their genus zero data. Zbl 1263.57025
Andersen, Jørgen Ellegaard; Ueno, Kenji
2012
An approach to categorification of some small quantum groups. Zbl 1352.81038
Khovanov, Mikhail; Qi, You
2015
Cables of thin knots and bordered Heegaard Floer homology. Zbl 1284.57014
Petkova, Ina
2013
A basis theorem for the affine oriented Brauer category and its cyclotomic quotients. Zbl 1419.18011
Brundan, Jonathan; Comes, Jonathan; Nash, David; Reynolds, Andrew
2017
Partial flag varieties, stable envelopes, and weight functions. Zbl 1361.14030
Rimányi, Richárd; Tarasov, Vitaly; Varchenko, Alexander
2015
Traces on ideals in pivotal categories. Zbl 1275.18017
Geer, Nathan; Patureau-Mirand, Bertrand; Virelizier, Alexis
2013
The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II. Zbl 1260.57024
Andersen, Jørgen Ellegaard; Himpel, Benjamin
2012
Heegaard Floer homology as morphism spaces. Zbl 1236.57042
Lipshitz, Robert; Ozsváth, Peter S.; Thurston, Dylan P.
2011
Hitchin’s connection, Toeplitz operators, and symmetry invariant deformation quantization. Zbl 1268.53098
Andersen, Jørgen Ellegaard
2012
On the SL$$(2,\mathbb C)$$ quantum $$6j$$-symbols and their relation to the hyperbolic volume. Zbl 1280.57013
Costantino, Francesco; Murakami, Jun
2013
Dualizability and index of subfactors. Zbl 1406.46044
Bartels, Arthur; Douglas, Christopher L.; Henriques, André
2014
A duality formalism in the spirit of Grothendieck and Verdier. Zbl 1370.18007
2013
The logarithms of Dehn twists. Zbl 1361.57027
Kawazumi, Nariya; Kuno, Yusuke
2014
Khovanov homology of a unicolored B-adequate link has a tail. Zbl 1326.57032
Rozansky, Lev
2014
Mutation invariance of Khovanov homology over $$\mathbb F_{2}$$. Zbl 1246.57020
Wehrli, Stephan M.
2010
Lifting pseudo-holomorphic polygons to the symplectisation of $$P \times \mathbb{R}$$ and applications. Zbl 1346.53074
Dimitroglou Rizell, Georgios
2016
On the asymptotic expansion of the Kashaev invariant of the $$5_2$$ knot. Zbl 1393.57014
2016
When the theories meet: Khovanov homology as Hochschild homology of links. Zbl 1215.57006
Przytycki, Józef H.
2010
Knot polynomial identities and quantum group coincidences. Zbl 1239.57031
Morrison, Scott; Peters, Emily; Snyder, Noah
2011
Generalized Kashaev invariants for knots in three manifolds. Zbl 1365.57020
Murakami, Jun
2017
A categorification of quantum $$\mathfrak{sl}_3$$ projectors and the $$\mathfrak{sl}_3$$ Reshetikhin-Turaev invariant of tangles. Zbl 1294.57009
Rose, David E. V.
2014
Integrality of Kauffman brackets of trivalent graphs. Zbl 1298.57009
Costantino, Francesco
2014
An odd categorification of $$U_q(\mathfrak{sl}_2)$$. Zbl 1391.17011
Ellis, Alexander P.; Lauda, Aaron D.
2016
Diagrammatics for Coxeter groups and their braid groups. Zbl 1383.20021
Elias, Ben; Williamson, Geordie
2017
Heegaard Floer correction terms, with a twist. Zbl 1388.57026
Behrens, Stefan; Golla, Marco
2018
A Turaev surface approach to Khovanov homology. Zbl 1395.57008
Dasbach, Oliver T.; Lowrance, Adam M.
2014
A graphical construction of the sl(3) invariant for virtual knots. Zbl 1326.57018
Kauffman, Louis H.; Manturov, Vassily O.
2014
Computations in formal symplectic geometry and characteristic classes of moduli spaces. Zbl 1362.17033
Morita, Shigeyuki; Sakasai, Takuya; Suzuki, Masaaki
2015
An untwisted cube of resolutions for knot Floer homology. Zbl 1305.57016
Manolescu, Ciprian
2014
$$A_{2}$$-planar algebras I. Zbl 1213.46058
Evans, David E.; Pugh, Mathew
2010
Erratum to: “A categorification of quantum $$\text{sl}(n)$$”. Zbl 1210.17021
Khovanov, Mikhail; Lauda, Aaron D.
2011
Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants. Zbl 1405.57020
Chen, Qingtao; Yang, Tian
2018
Polynomial invariants of graphs on surfaces. Zbl 1257.05065
Askanazi, Ross; Chmutov, Sergei; Estill, Charles; Michel, Jonathan; Stollenwerk, Patrick
2013
Hitchin’s connection in metaplectic quantization. Zbl 1253.53087
Andersen, Jørgen Ellegaard; Gammelgaard, Niels Leth; Lauridsen, Magnus Roed
2012
On transverse invariants from Khovanov homology. Zbl 1327.57010
Lipshitz, Robert; Ng, Lenhard; Sarkar, Sucharit
2015
On knots in overtwisted contact structures. Zbl 1281.57016
Etnyre, John B.
2013
The symplectic properties of the $$\mathrm{PGL}(n,\mathbb{C})$$-gluing equations. Zbl 1352.57028
Garoufalidis, Stavros; Zickert, Christian K.
2016
Quantum shuffles and quantum supergroups of basic type. Zbl 1364.17017
Clark, Sean; Hill, David; Wang, Weiqiang
2016
$$L$$-space surgeries on links. Zbl 1381.57019
Liu, Yajing
2017
Lagrangian concordance is not a symmetric relation. Zbl 1337.57056
Chantraine, Baptiste
2015
The skein module of torus knots. Zbl 1213.57020
Marché, Julien
2010
Differential forms and 0-dimensional supersymmetric field theories. Zbl 1236.19008
Hohnhold, Henning; Kreck, Matthias; Stolz, Stephan; Teichner, Peter
2011
Fourier transform for quantum $$D$$-modules via the punctured torus mapping class group. Zbl 1382.16028
2017
Knot homology via derived categories of coherent sheaves. IV: Coloured links. Zbl 1378.14011
Cautis, Sabin; Kamnitzer, Joel
2017
Triangular decomposition of skein algebras. Zbl 1427.57011
Lê, Thang T. Q.
2018
Spin modular categories. Zbl 1378.57040
Beliakova, Anna; Blanchet, Christian; Contreras, Eva
2017
Categorification of quantum symmetric pairs. I. Zbl 1459.17028
Bao, Huanchen; Shan, Peng; Wang, Weiqiang; Webster, Ben
2018
Formal descriptions of Turaev’s loop operations. Zbl 1393.57016
Massuyeau, Gwénaël
2018
Irreducible factors of modular representations of mapping class groups arising in integral TQFT. Zbl 1303.57023
Gilmer, Patrick M.; Masbaum, Gregor
2014
A note on sign conventions in link Floer homology. Zbl 1236.57020
Sarkar, Sucharit
2011
HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links. Zbl 1230.57016
Rutherford, Dan
2011
Invariance and the knot Floer cube of resolutions. Zbl 1344.57006
Gilmore, Allison
2016
The Homflypt polynomial and the oriented Thompson group. Zbl 1397.57022
Aiello, Valeriano; Conti, Roberto; Jones, Vaughan F. R.
2018
Planar algebras, cabling and the Drinfeld double. Zbl 1416.16032
De, Sandipan; Kodiyalam, Vijay
2018
Families of Legendrian submanifolds via generating families. Zbl 1358.57029
Sabloff, Joshua M.; Sullivan, Michael G.
2016
Positive half of the Witt algebra acts on triply graded link homology. Zbl 1376.57015
Khovanov, Mikhail; Rozansky, Lev
2016
A spectral sequence on lattice homology. Zbl 1316.57023
Ozsváth, Peter; Stipsicz, András I.; Szabó, Zoltán
2014
Filtrations on instanton homology. Zbl 1311.57018
Kronheimer, Peter B.; Mrowka, Tom S.
2014
On the integrality of the Witten-Reshetikhin-Turaev 3-manifold invariants. Zbl 1297.57026
Beliakova, Anna; Chen, Qi; Le, Thang
2014
A quadrilateral in the Asaeda-Haagerup category. Zbl 1230.46052
Asaeda, Marta; Grossman, Pinhas
2011
Universal skein theory for finite depth subfactor planar algebras. Zbl 1252.46064
Kodiyalam, Vijay; Tupurani, Srikanth
2011
Shadows, ribbon surfaces, and quantum invariants. Zbl 1388.57008
Carrega, Alessio; Martelli, Bruno
2017
Absolute gradings on ECH and Heegaard Floer homology. Zbl 1411.53076
Ramos, Vinicius Gripp Barros
2018
Holonomy perturbations and regularity for traceless SU(2) character varieties of tangles. Zbl 1396.57022
Herald, Christopher M.; Kirk, Paul
2018
The classification of $$3^n$$ subfactors and related fusion categories. Zbl 1403.46048
Izumi, Masaki
2018
Splicing integer framed knot complements and bordered Heegaard Floer homology. Zbl 1386.57017
Hanselman, Jonathan
2017
Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality. Zbl 1447.57017
Bonahon, Francis; Wong, Helen
2019
$$p$$-adic dimensions in symmetric tensor categories in characteristic $$p$$. Zbl 1390.18016
Etingof, Pavel; Harman, Nate; Ostrik, Victor
2018
Categorifications of the extended affine Hecke algebra and the affine $$q$$-Schur algebra $$\widehat {\mathbf S} (n,r)$$ for $$3 \leq r < n$$. Zbl 1402.20060
Mackaay, Marco; Thiel, Anne-Laure
2017
Module categories over affine group schemes. Zbl 1338.14018
Gelaki, Shlomo
2015
Cyclic extensions of fusion categories via the Brauer-Picard groupoid. Zbl 1318.18002
Grossman, Pinhas; Jordan, David; Snyder, Noah
2015
New proofs of certain finite filling results results via Khovanov homology. Zbl 1285.57008
Watson, Liam
2013
Equivariant Khovanov-Rozansky homology and Lee-Gornik spectral sequence. Zbl 1332.57014
Wu, Hao
2015
Comparing invariants of Legendrian knots. Zbl 1334.57009
Golla, Marco
2015
A topological grading on bordered Heegaard Floer homology. Zbl 1326.57051
Huang, Yang; Ramos, Vinicius G. B.
2015
A quaternionic braid representation (after Goldschmidt and Jones). Zbl 1220.20032
Rowell, Eric C.
2011
Geometric filtrations of string links and homology cylinders. Zbl 1338.57005
Conant, James; Schneiderman, Robert; Teichner, Peter
2016
Root polytopes, parking functions, and the HOMFLY polynomial. Zbl 1381.57011
Kálmán, Tamás; Murakami, Hitoshi
2017
Galois action on knots. I: Action of the absolute Galois group. Zbl 1371.14029
Furusho, Hidekazu
2017
Defining and classifying TQFTs via surgery. Zbl 1408.57031
Juhász, András
2018
HOMFLY-PT and Alexander polynomials from a doubled Schur algebra. Zbl 1443.57006
Queffelec, Hoel; Sartori, Antonio
2018
The Khovanov homology of infinite braids. Zbl 1409.57013
Islambouli, Gabriel; Willis, Michael
2018
A perturbation of the geometric spectral sequence in Khovanov homology. Zbl 1381.57009
Sarkar, Sucharit; Seed, Cotton; Szabó, Zoltán
2017
Cable links and $$\mathrm{L}$$-space surgeries. Zbl 1422.57021
Gorsky, Eugene; Hom, Jennifer
2017
Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality. Zbl 1447.57017
Bonahon, Francis; Wong, Helen
2019
Line and surface defects in Reshetikhin-Turaev TQFT. Zbl 1427.81153
Carqueville, Nils; Runkel, Ingo; Schaumann, Gregor
2019
Bordered knot algebras with matchings. Zbl 1439.57032
Ozsváth, Peter S.; Szabó, Zoltán
2019
Fukaya categories of plumbings and multiplicative preprojective algebras. Zbl 1442.57013
Etgü, Tolga; Lekili, Yankı
2019
A polynomial action on colored $$\mathfrak {sl}_2$$ link homology. Zbl 1428.57007
Hogancamp, Matthew
2019
Heegaard Floer correction terms, with a twist. Zbl 1388.57026
Behrens, Stefan; Golla, Marco
2018
Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants. Zbl 1405.57020
Chen, Qingtao; Yang, Tian
2018
Triangular decomposition of skein algebras. Zbl 1427.57011
Lê, Thang T. Q.
2018
Categorification of quantum symmetric pairs. I. Zbl 1459.17028
Bao, Huanchen; Shan, Peng; Wang, Weiqiang; Webster, Ben
2018
Formal descriptions of Turaev’s loop operations. Zbl 1393.57016
Massuyeau, Gwénaël
2018
The Homflypt polynomial and the oriented Thompson group. Zbl 1397.57022
Aiello, Valeriano; Conti, Roberto; Jones, Vaughan F. R.
2018
Planar algebras, cabling and the Drinfeld double. Zbl 1416.16032
De, Sandipan; Kodiyalam, Vijay
2018
Absolute gradings on ECH and Heegaard Floer homology. Zbl 1411.53076
Ramos, Vinicius Gripp Barros
2018
Holonomy perturbations and regularity for traceless SU(2) character varieties of tangles. Zbl 1396.57022
Herald, Christopher M.; Kirk, Paul
2018
The classification of $$3^n$$ subfactors and related fusion categories. Zbl 1403.46048
Izumi, Masaki
2018
$$p$$-adic dimensions in symmetric tensor categories in characteristic $$p$$. Zbl 1390.18016
Etingof, Pavel; Harman, Nate; Ostrik, Victor
2018
Defining and classifying TQFTs via surgery. Zbl 1408.57031
Juhász, András
2018
HOMFLY-PT and Alexander polynomials from a doubled Schur algebra. Zbl 1443.57006
Queffelec, Hoel; Sartori, Antonio
2018
The Khovanov homology of infinite braids. Zbl 1409.57013
Islambouli, Gabriel; Willis, Michael
2018
Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones. Zbl 1412.46078
Brannan, Michael; Collins, Benoît
2018
Two-fold quasi-alternating links, Khovanov homology and instanton homology. Zbl 1397.57031
2018
Irreducibility of quantum representations of mapping class groups with boundary. Zbl 1422.57078
Koberda, Thomas; Santharoubane, Ramanujan
2018
Twisting, mutation and knot Floer homology. Zbl 1431.57007
Lambert-Cole, Peter
2018
A basis theorem for the affine oriented Brauer category and its cyclotomic quotients. Zbl 1419.18011
Brundan, Jonathan; Comes, Jonathan; Nash, David; Reynolds, Andrew
2017
Generalized Kashaev invariants for knots in three manifolds. Zbl 1365.57020
Murakami, Jun
2017
Diagrammatics for Coxeter groups and their braid groups. Zbl 1383.20021
Elias, Ben; Williamson, Geordie
2017
$$L$$-space surgeries on links. Zbl 1381.57019
Liu, Yajing
2017
Fourier transform for quantum $$D$$-modules via the punctured torus mapping class group. Zbl 1382.16028
2017
Knot homology via derived categories of coherent sheaves. IV: Coloured links. Zbl 1378.14011
Cautis, Sabin; Kamnitzer, Joel
2017
Spin modular categories. Zbl 1378.57040
Beliakova, Anna; Blanchet, Christian; Contreras, Eva
2017
Shadows, ribbon surfaces, and quantum invariants. Zbl 1388.57008
Carrega, Alessio; Martelli, Bruno
2017
Splicing integer framed knot complements and bordered Heegaard Floer homology. Zbl 1386.57017
Hanselman, Jonathan
2017
Categorifications of the extended affine Hecke algebra and the affine $$q$$-Schur algebra $$\widehat {\mathbf S} (n,r)$$ for $$3 \leq r < n$$. Zbl 1402.20060
Mackaay, Marco; Thiel, Anne-Laure
2017
Root polytopes, parking functions, and the HOMFLY polynomial. Zbl 1381.57011
Kálmán, Tamás; Murakami, Hitoshi
2017
Galois action on knots. I: Action of the absolute Galois group. Zbl 1371.14029
Furusho, Hidekazu
2017
A perturbation of the geometric spectral sequence in Khovanov homology. Zbl 1381.57009
Sarkar, Sucharit; Seed, Cotton; Szabó, Zoltán
2017
Cable links and $$\mathrm{L}$$-space surgeries. Zbl 1422.57021
Gorsky, Eugene; Hom, Jennifer
2017
Non ambiguous structures on 3-manifolds and quantum symmetry defects. Zbl 1402.57014
Baseilhac, Stéphane; Benedetti, Riccardo
2017
Orbifold completion of defect bicategories. Zbl 1360.18007
Carqueville, Nils; Runkel, Ingo
2016
Morita theory for finitary 2-categories. Zbl 1346.18009
Mazorchuk, Volodymyr; Miemietz, Vanessa
2016
Skein and cluster algebras of marked surfaces. Zbl 1375.13038
Muller, Greg
2016
Lifting pseudo-holomorphic polygons to the symplectisation of $$P \times \mathbb{R}$$ and applications. Zbl 1346.53074
Dimitroglou Rizell, Georgios
2016
On the asymptotic expansion of the Kashaev invariant of the $$5_2$$ knot. Zbl 1393.57014
2016
An odd categorification of $$U_q(\mathfrak{sl}_2)$$. Zbl 1391.17011
Ellis, Alexander P.; Lauda, Aaron D.
2016
The symplectic properties of the $$\mathrm{PGL}(n,\mathbb{C})$$-gluing equations. Zbl 1352.57028
Garoufalidis, Stavros; Zickert, Christian K.
2016
Quantum shuffles and quantum supergroups of basic type. Zbl 1364.17017
Clark, Sean; Hill, David; Wang, Weiqiang
2016
Invariance and the knot Floer cube of resolutions. Zbl 1344.57006
Gilmore, Allison
2016
Families of Legendrian submanifolds via generating families. Zbl 1358.57029
Sabloff, Joshua M.; Sullivan, Michael G.
2016
Positive half of the Witt algebra acts on triply graded link homology. Zbl 1376.57015
Khovanov, Mikhail; Rozansky, Lev
2016
Geometric filtrations of string links and homology cylinders. Zbl 1338.57005
Conant, James; Schneiderman, Robert; Teichner, Peter
2016
Complexity classes as mathematical axioms. II. Zbl 1336.68088
Cui, Shawn X.; Freedman, Michael H.; Wang, Zhenghan
2016
All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials. Zbl 1335.57019
Borot, Gaëtan; Eynard, Bertrand
2015
An approach to categorification of some small quantum groups. Zbl 1352.81038
Khovanov, Mikhail; Qi, You
2015
Partial flag varieties, stable envelopes, and weight functions. Zbl 1361.14030
Rimányi, Richárd; Tarasov, Vitaly; Varchenko, Alexander
2015
Computations in formal symplectic geometry and characteristic classes of moduli spaces. Zbl 1362.17033
Morita, Shigeyuki; Sakasai, Takuya; Suzuki, Masaaki
2015
On transverse invariants from Khovanov homology. Zbl 1327.57010
Lipshitz, Robert; Ng, Lenhard; Sarkar, Sucharit
2015
Lagrangian concordance is not a symmetric relation. Zbl 1337.57056
Chantraine, Baptiste
2015
Module categories over affine group schemes. Zbl 1338.14018
Gelaki, Shlomo
2015
Cyclic extensions of fusion categories via the Brauer-Picard groupoid. Zbl 1318.18002
Grossman, Pinhas; Jordan, David; Snyder, Noah
2015
Equivariant Khovanov-Rozansky homology and Lee-Gornik spectral sequence. Zbl 1332.57014
Wu, Hao
2015
Comparing invariants of Legendrian knots. Zbl 1334.57009
Golla, Marco
2015
A topological grading on bordered Heegaard Floer homology. Zbl 1326.57051
Huang, Yang; Ramos, Vinicius G. B.
2015
Positive topological quantum field theories. Zbl 1346.57027
Banagl, Markus
2015
Dualizability and index of subfactors. Zbl 1406.46044
Bartels, Arthur; Douglas, Christopher L.; Henriques, André
2014
The logarithms of Dehn twists. Zbl 1361.57027
Kawazumi, Nariya; Kuno, Yusuke
2014
Khovanov homology of a unicolored B-adequate link has a tail. Zbl 1326.57032
Rozansky, Lev
2014
A categorification of quantum $$\mathfrak{sl}_3$$ projectors and the $$\mathfrak{sl}_3$$ Reshetikhin-Turaev invariant of tangles. Zbl 1294.57009
Rose, David E. V.
2014
Integrality of Kauffman brackets of trivalent graphs. Zbl 1298.57009
Costantino, Francesco
2014
A Turaev surface approach to Khovanov homology. Zbl 1395.57008
Dasbach, Oliver T.; Lowrance, Adam M.
2014
A graphical construction of the sl(3) invariant for virtual knots. Zbl 1326.57018
Kauffman, Louis H.; Manturov, Vassily O.
2014
An untwisted cube of resolutions for knot Floer homology. Zbl 1305.57016
Manolescu, Ciprian
2014
Irreducible factors of modular representations of mapping class groups arising in integral TQFT. Zbl 1303.57023
Gilmer, Patrick M.; Masbaum, Gregor
2014
A spectral sequence on lattice homology. Zbl 1316.57023
Ozsváth, Peter; Stipsicz, András I.; Szabó, Zoltán
2014
Filtrations on instanton homology. Zbl 1311.57018
Kronheimer, Peter B.; Mrowka, Tom S.
2014
On the integrality of the Witten-Reshetikhin-Turaev 3-manifold invariants. Zbl 1297.57026
Beliakova, Anna; Chen, Qi; Le, Thang
2014
Hecke algebras, finite general linear groups, and Heisenberg categorification. Zbl 1279.20006
Licata, Anthony; Savage, Alistair
2013
A diagrammatic categorification of the $$q$$-Schur algebra. Zbl 1272.81098
Mackaay, Marco; Stošić, Marko; Vaz, Pedro
2013
Cables of thin knots and bordered Heegaard Floer homology. Zbl 1284.57014
Petkova, Ina
2013
Traces on ideals in pivotal categories. Zbl 1275.18017
Geer, Nathan; Patureau-Mirand, Bertrand; Virelizier, Alexis
2013
On the SL$$(2,\mathbb C)$$ quantum $$6j$$-symbols and their relation to the hyperbolic volume. Zbl 1280.57013
Costantino, Francesco; Murakami, Jun
2013
A duality formalism in the spirit of Grothendieck and Verdier. Zbl 1370.18007
2013
Polynomial invariants of graphs on surfaces. Zbl 1257.05065
Askanazi, Ross; Chmutov, Sergei; Estill, Charles; Michel, Jonathan; Stollenwerk, Patrick
2013
On knots in overtwisted contact structures. Zbl 1281.57016
Etnyre, John B.
2013
New proofs of certain finite filling results results via Khovanov homology. Zbl 1285.57008
Watson, Liam
2013
Dubois torsion, $$A$$-polynomial and quantum invariants. Zbl 1278.57019
Frohman, Charles D.; Kania-Bartoszynska, Joanna
2013
Fivebranes and knots. Zbl 1241.57041
Witten, Edward
2012
Categorification of the Jones-Wenzl projectors. Zbl 1362.57015
Cooper, Benjamin; Krushkal, Vyacheslav
2012
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and $$3j$$-symbols. Zbl 1256.17006
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua
2012
Modular functors are determined by their genus zero data. Zbl 1263.57025
Andersen, Jørgen Ellegaard; Ueno, Kenji
2012
The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II. Zbl 1260.57024
Andersen, Jørgen Ellegaard; Himpel, Benjamin
2012
Hitchin’s connection, Toeplitz operators, and symmetry invariant deformation quantization. Zbl 1268.53098
Andersen, Jørgen Ellegaard
2012
Hitchin’s connection in metaplectic quantization. Zbl 1253.53087
Andersen, Jørgen Ellegaard; Gammelgaard, Niels Leth; Lauridsen, Magnus Roed
2012
Cohomology of mapping class groups and the abelian moduli space. Zbl 1245.57020
Andersen, Jørgen Ellegaard; Villemoes, Rasmus
2012
The Jones slopes of a knot. Zbl 1228.57004
Garoufalidis, Stavros
2011
The embedding theorem for finite depth subfactor planar algebras. Zbl 1230.46055
Jones, Vaughan F. R.; Penneys, David
2011
Heegaard Floer homology as morphism spaces. Zbl 1236.57042
Lipshitz, Robert; Ozsváth, Peter S.; Thurston, Dylan P.
2011
Knot polynomial identities and quantum group coincidences. Zbl 1239.57031
Morrison, Scott; Peters, Emily; Snyder, Noah
2011
Erratum to: “A categorification of quantum $$\text{sl}(n)$$”. Zbl 1210.17021
Khovanov, Mikhail; Lauda, Aaron D.
2011
Differential forms and 0-dimensional supersymmetric field theories. Zbl 1236.19008
Hohnhold, Henning; Kreck, Matthias; Stolz, Stephan; Teichner, Peter
2011
A note on sign conventions in link Floer homology. Zbl 1236.57020
Sarkar, Sucharit
2011
...and 16 more Documents
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#### Cited by 889 Authors

 16 Mazorchuk, Volodymyr 15 Garoufalidis, Stavros 15 Lauda, Aaron D. 14 Andersen, Jørgen Ellegaard 14 Cautis, Sabin 12 Geer, Nathan 12 Penneys, David 12 Runkel, Ingo 12 Webster, Ben 11 Rowell, Eric C. 10 Carqueville, Nils 10 Mackaay, Marco 10 Morrison, Scott 10 Patureau-Mirand, Bertrand 10 Savage, Alistair 9 Galindo Martínez, César Neyit 9 Kalfagianni, Efstratia 9 Lipshitz, Robert 9 Snyder, Noah 9 Sussan, Joshua 9 Varchenko, Alexander Nikolaevich 9 Wang, Zhenghan 8 Beliakova, Anna 8 Etingof, Pavel Il’ich 8 Gukov, Sergei 8 Khovanov, Mikhail G. 8 Kong, Liang 8 Lee, Christine Ruey Shan 8 Li, Yiqiang 8 Miemietz, Vanessa 8 Rimányi, Richárd 7 Brundan, Jonathan 7 Gorsky, Eugene 7 Hogancamp, Matthew 7 Jones, Corey 7 Le, Thang Tu Quoc 7 Nikshych, Dmitri 7 Ozsváth, Peter Steven 7 Qi, You 7 Stroppel, Catharina H. 7 van der Veen, Roland 7 Wehrheim, Katrin 6 Costantino, Francesco 6 Elias, Benjamin 6 Hedden, Matthew 6 Jordan, David Andrew 6 Kamnitzer, Joel 6 Levine, Adam Simon 6 Licata, Anthony M. 6 Manturov, Vassiliĭ Olegovich 6 Mombelli, Martín 6 Plavnik, Julia Yael 6 Rutherford, Dan 6 Schaumann, Gregor 6 Sułkowski, Piotr 6 Tarasov, Vitaly Olegovich 6 Wang, Weiqiang 6 Woodward, Christopher T. 6 Zhang, Xiaoting 5 Clark, Sean 5 Dimofte, Tudor Dan 5 Douglas, Christopher L. 5 Eynard, Bertrand 5 Fuchs, Jürgen 5 Manolescu, Ciprian 5 Moffatt, Iain 5 Ohtsuki, Tomotada 5 Queffelec, Hoel 5 Sakasai, Takuya 5 Sarkar, Sucharit 5 Schweigert, Christoph 5 Smith, Ivan 5 Stipsicz, András I. 5 Takata, Toshie 5 Thurston, Dylan Paul 5 Tubbenhauer, Daniel 5 Zheng, Hao 4 Abouzaid, Mohammed 4 Aganagic, Mina 4 Blanchet, Christian 4 Boden, Hans U. 4 Bouchard, Vincent 4 Canakci, Ilke 4 Cheng, Zhiyun 4 Davydov, Alekseĭ Aleksandrovich 4 Deshpande, Tanmay 4 Detcherry, Renaud 4 Edie-Michell, Cain 4 Elhamdadi, Mohamed 4 Ellis, Alexander P. 4 Evans, David E. 4 Gainutdinov, Azat M. 4 Gao, Hongzhu 4 Golla, Marco 4 Gustafson, Paul P. 4 Hadasz, Leszek 4 Jones, Vaughan Frederick Randal 4 Kauffman, Louis Hirsch 4 Lewark, Lukas 4 Liu, Zhengwei ...and 789 more Authors
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#### Cited in 149 Journals

 68 Journal of Knot Theory and its Ramifications 56 Communications in Mathematical Physics 50 Advances in Mathematics 50 Algebraic & Geometric Topology 40 Journal of High Energy Physics 32 Journal of Algebra 32 Selecta Mathematica. New Series 26 Quantum Topology 25 Journal of Pure and Applied Algebra 24 Transactions of the American Mathematical Society 19 Proceedings of the American Mathematical Society 19 Topology and its Applications 18 Geometry & Topology 17 Letters in Mathematical Physics 17 Mathematische Zeitschrift 14 Journal of Mathematical Physics 13 Compositio Mathematica 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Journal of Geometry and Physics 10 Mathematische Annalen 9 Acta Mathematica Vietnamica 8 Duke Mathematical Journal 8 International Journal of Mathematics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Geometriae Dedicata 7 Bulletin of the American Mathematical Society. New Series 7 Transformation Groups 6 Memoirs of the American Mathematical Society 6 Experimental Mathematics 6 Representation Theory 5 Communications in Algebra 5 Annales de l’Institut Fourier 5 Inventiones Mathematicae 5 European Journal of Combinatorics 5 Theory and Applications of Categories 5 Communications in Contemporary Mathematics 5 Annales Henri Poincaré 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Noncommutative Geometry 5 Journal of Topology 5 Journal de l’École Polytechnique – Mathématiques 4 Nuclear Physics. B 4 Fundamenta Mathematicae 4 Indiana University Mathematics Journal 4 Journal of Combinatorial Theory. Series A 4 Journal of the American Mathematical Society 4 Applied Categorical Structures 4 Journal of Algebra and its Applications 4 Algebraic Combinatorics 3 Reviews in Mathematical Physics 3 Glasgow Mathematical Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Functional Analysis 3 Osaka Journal of Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Algebraic Combinatorics 3 Documenta Mathematica 3 Algebras and Representation Theory 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Japanese Journal of Mathematics. 3rd Series 3 Kyoto Journal of Mathematics 3 Research in the Mathematical Sciences 2 Bulletin of the London Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Advances in Applied Mathematics 2 Geometric and Functional Analysis. GAFA 2 Journal of Algebraic Geometry 2 Doklady Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Journal of Topology and Analysis 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 Proceedings of the American Mathematical Society. Series B 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Physics Letters. B 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Fortschritte der Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan ...and 49 more Journals
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#### Cited in 42 Fields

 437 Manifolds and cell complexes (57-XX) 217 Category theory; homological algebra (18-XX) 191 Quantum theory (81-XX) 184 Nonassociative rings and algebras (17-XX) 128 Associative rings and algebras (16-XX) 116 Group theory and generalizations (20-XX) 87 Algebraic geometry (14-XX) 85 Differential geometry (53-XX) 54 Functional analysis (46-XX) 53 Combinatorics (05-XX) 38 Algebraic topology (55-XX) 33 Global analysis, analysis on manifolds (58-XX) 26 Commutative algebra (13-XX) 24 Relativity and gravitational theory (83-XX) 22 Several complex variables and analytic spaces (32-XX) 19 $$K$$-theory (19-XX) 12 Number theory (11-XX) 12 Topological groups, Lie groups (22-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of particles and systems (70-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 4 History and biography (01-XX) 4 Operator theory (47-XX) 4 Convex and discrete geometry (52-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)