Cazassus, Guillem Equivariant Lagrangian Floer homology via cotangent bundles of \(EG_N\). (English) Zbl 07824482 J. Topol. 17, No. 1, Article ID e12328, 61 p. (2024). MSC: 53D05 53D12 53D20 55N25 53D30 57K31 PDFBibTeX XMLCite \textit{G. Cazassus}, J. Topol. 17, No. 1, Article ID e12328, 61 p. (2024; Zbl 07824482) Full Text: DOI arXiv OA License
Jin, Xin; Treumann, David Brane structures in microlocal sheaf theory. (English) Zbl 07824479 J. Topol. 17, No. 1, Article ID e12325, 68 p. (2024). MSC: 53D12 53D37 55P42 PDFBibTeX XMLCite \textit{X. Jin} and \textit{D. Treumann}, J. Topol. 17, No. 1, Article ID e12325, 68 p. (2024; Zbl 07824479) Full Text: DOI arXiv OA License
Chen, Jingyi; Warren, Micah Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume. (English) Zbl 07822935 J. Differ. Geom. 126, No. 1, 65-97 (2024). MSC: 53D12 PDFBibTeX XMLCite \textit{J. Chen} and \textit{M. Warren}, J. Differ. Geom. 126, No. 1, 65--97 (2024; Zbl 07822935) Full Text: DOI arXiv Link
Casals, Roger; Weng, Daping Microlocal theory of Legendrian links and cluster algebras. (English) Zbl 07822008 Geom. Topol. 28, No. 2, 901-1000 (2024). MSC: 13F60 53D12 PDFBibTeX XMLCite \textit{R. Casals} and \textit{D. Weng}, Geom. Topol. 28, No. 2, 901--1000 (2024; Zbl 07822008) Full Text: DOI arXiv
Kim, Yoosik Chekanov torus and Gelfand-Zeitlin torus in \(S^2 \times S^2\). (English) Zbl 07814998 Differ. Geom. Appl. 93, Article ID 102091, 16 p. (2024). MSC: 53D12 57R17 PDFBibTeX XMLCite \textit{Y. Kim}, Differ. Geom. Appl. 93, Article ID 102091, 16 p. (2024; Zbl 07814998) Full Text: DOI arXiv
Matessi, Diego On real Calabi-Yau threefolds twisted by a section. (English) Zbl 07809018 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12845, 35 p. (2024). MSC: 14J33 14P25 53D12 PDFBibTeX XMLCite \textit{D. Matessi}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12845, 35 p. (2024; Zbl 07809018) Full Text: DOI arXiv OA License
Porcelli, Noah W. Families of relatively exact Lagrangians, free loop spaces and generalised homology. (English) Zbl 07807764 Sel. Math., New Ser. 30, No. 2, Paper No. 21, 53 p. (2024). MSC: 53D12 55N20 PDFBibTeX XMLCite \textit{N. W. Porcelli}, Sel. Math., New Ser. 30, No. 2, Paper No. 21, 53 p. (2024; Zbl 07807764) Full Text: DOI arXiv OA License
Chen, Linyi; Crider-Phillips, Grant; Reinoso, Braeden; Sabloff, Joshua; Yao, Leyu Non-orientable Lagrangian fillings of Legendrian knots. (English) Zbl 07783186 Math. Proc. Camb. Philos. Soc. 176, No. 1, 123-153 (2024). Reviewer: Watchareepan Atiponrat (Chiang Mai) MSC: 57K10 57K33 53D12 PDFBibTeX XMLCite \textit{L. Chen} et al., Math. Proc. Camb. Philos. Soc. 176, No. 1, 123--153 (2024; Zbl 07783186) Full Text: DOI arXiv
Alekseev, Anton; Meinrenken, Eckhard On the coadjoint Virasoro action. (English) Zbl 07783026 J. Geom. Phys. 195, Article ID 105029, 32 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 53D17 17B68 53D05 53D12 PDFBibTeX XMLCite \textit{A. Alekseev} and \textit{E. Meinrenken}, J. Geom. Phys. 195, Article ID 105029, 32 p. (2024; Zbl 07783026) Full Text: DOI arXiv
Mladenov, Borislav Formality of differential graded algebras and complex Lagrangian submanifolds. (English) Zbl 07782624 Sel. Math., New Ser. 30, No. 1, Paper No. 8, 42 p. (2024). MSC: 53D55 14F05 14J32 18G50 53D40 53D12 16E45 PDFBibTeX XMLCite \textit{B. Mladenov}, Sel. Math., New Ser. 30, No. 1, Paper No. 8, 42 p. (2024; Zbl 07782624) Full Text: DOI arXiv OA License
Asano, Tomohiro; Guillermou, Stéphane; Humilière, Vincent; Ike, Yuichi; Viterbo, Claude The \(\gamma\)-support as a micro-support. (English) Zbl 07811799 C. R., Math., Acad. Sci. Paris 361, 1333-1340 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53D12 14F08 PDFBibTeX XMLCite \textit{T. Asano} et al., C. R., Math., Acad. Sci. Paris 361, 1333--1340 (2023; Zbl 07811799) Full Text: DOI arXiv
Báez, Jhoan; San Martin, Luiz A. B. Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form. (English) Zbl 07803723 Rev. Integr. 41, No. 1, 27-42 (2023). MSC: 14M15 22F30 53D12 PDFBibTeX XMLCite \textit{J. Báez} and \textit{L. A. B. San Martin}, Rev. Integr. 41, No. 1, 27--42 (2023; Zbl 07803723) Full Text: DOI
Rauch, Itamar Rosenfeld On the Hofer girth of the sphere of great circles. (English) Zbl 07794730 J. Topol. Anal. 15, No. 4, 1095-1115 (2023). MSC: 53D12 PDFBibTeX XMLCite \textit{I. R. Rauch}, J. Topol. Anal. 15, No. 4, 1095--1115 (2023; Zbl 07794730) Full Text: DOI arXiv
Sedykh, Vyacheslav D. The topology of the complement to the caustic of a Lagrangian germ of type \(E_6^\pm \). (English. Russian original) Zbl 07794502 Russ. Math. Surv. 78, No. 3, 569-571 (2023); translation from Usp. Mat. Nauk 78, No. 3, 181-182 (2023). MSC: 53D12 57R45 PDFBibTeX XMLCite \textit{V. D. Sedykh}, Russ. Math. Surv. 78, No. 3, 569--571 (2023; Zbl 07794502); translation from Usp. Mat. Nauk 78, No. 3, 181--182 (2023) Full Text: DOI MNR
Hicks, Jeff Lagrangian cobordisms and Lagrangian surgery. (English) Zbl 07791921 Comment. Math. Helv. 98, No. 3, 509-595 (2023). MSC: 53D12 57R58 PDFBibTeX XMLCite \textit{J. Hicks}, Comment. Math. Helv. 98, No. 3, 509--595 (2023; Zbl 07791921) Full Text: DOI arXiv
Aguilar-Suárez, Rodrigo; Ruiz-Hernández, Gabriel A characterization of minimal Lagrangian submanifolds of the nearly Kähler \(G \times G\). (English) Zbl 07789445 Bull. Belg. Math. Soc. - Simon Stevin 30, No. 2, 140-162 (2023). Reviewer: Mihail Banaru (Smolensk) MSC: 53C15 53D12 PDFBibTeX XMLCite \textit{R. Aguilar-Suárez} and \textit{G. Ruiz-Hernández}, Bull. Belg. Math. Soc. - Simon Stevin 30, No. 2, 140--162 (2023; Zbl 07789445) Full Text: DOI Link
Muratore, Giosuè Enumeration of rational contact curves via torus actions. (English) Zbl 07787857 Mich. Math. J. 73, No. 4, 875-894 (2023). MSC: 14C17 14L30 14N10 14N35 14Q99 53D12 PDFBibTeX XMLCite \textit{G. Muratore}, Mich. Math. J. 73, No. 4, 875--894 (2023; Zbl 07787857) Full Text: DOI arXiv
Hughes, James Weave-realizability for \(D\)-type. (English) Zbl 07786946 Algebr. Geom. Topol. 23, No. 6, 2735-2776 (2023). MSC: 53D12 57K33 PDFBibTeX XMLCite \textit{J. Hughes}, Algebr. Geom. Topol. 23, No. 6, 2735--2776 (2023; Zbl 07786946) Full Text: DOI arXiv
Hong, Hansol; Kim, Yoosik; Lau, Siu-Cheong Immersed two-spheres and SYZ with application to Grassmannians. (English) Zbl 07783637 J. Differ. Geom. 125, No. 3, 427-507 (2023). MSC: 53D40 53D12 PDFBibTeX XMLCite \textit{H. Hong} et al., J. Differ. Geom. 125, No. 3, 427--507 (2023; Zbl 07783637) Full Text: DOI arXiv Link
Brendel, Joé Real Lagrangian tori and versal deformations. (English) Zbl 07783206 J. Symplectic Geom. 21, No. 3, 463-507 (2023). Reviewer: Simona Druta-Romaniuc (Iaşi) MSC: 53D12 57K33 PDFBibTeX XMLCite \textit{J. Brendel}, J. Symplectic Geom. 21, No. 3, 463--507 (2023; Zbl 07783206) Full Text: DOI arXiv
Ekholm, Tobias; Lekili, Yankı Duality between Lagrangian and Legendrian invariants. (English) Zbl 07781510 Geom. Topol. 27, No. 6, 2049-2179 (2023). MSC: 53D12 57R17 PDFBibTeX XMLCite \textit{T. Ekholm} and \textit{Y. Lekili}, Geom. Topol. 27, No. 6, 2049--2179 (2023; Zbl 07781510) Full Text: DOI arXiv
Ganatra, Sheel Cyclic homology, \(S^1\)-equivariant Floer cohomology and Calabi-Yau structures. (English) Zbl 07777465 Geom. Topol. 27, No. 9, 3461-3584 (2023). MSC: 53D12 53D37 19D55 PDFBibTeX XMLCite \textit{S. Ganatra}, Geom. Topol. 27, No. 9, 3461--3584 (2023; Zbl 07777465) Full Text: DOI arXiv
Greene, Joshua Evan; Lobb, Andrew Cyclic quadrilaterals and smooth Jordan curves. (English) Zbl 07770152 Invent. Math. 234, No. 3, 931-935 (2023). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51M05 57K20 53D12 52A10 53A04 PDFBibTeX XMLCite \textit{J. E. Greene} and \textit{A. Lobb}, Invent. Math. 234, No. 3, 931--935 (2023; Zbl 07770152) Full Text: DOI arXiv
Kim, Yoosik On non-displaceable Lagrangian submanifolds in two-step flag varieties. (English) Zbl 07768258 J. Korean Math. Soc. 60, No. 5, 1109-1133 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D40 53D12 14M15 PDFBibTeX XMLCite \textit{Y. Kim}, J. Korean Math. Soc. 60, No. 5, 1109--1133 (2023; Zbl 07768258) Full Text: DOI arXiv
Hu, Xijun; Ou, Yuwei; Tang, Xiuting Linear stability of an elliptic relative equilibrium in the spatial \(n\)-body problem via index theory. (English) Zbl 07765049 Regul. Chaotic Dyn. 28, No. 4-5, 731-755 (2023). MSC: 37J25 37J51 37B30 70F10 53D12 PDFBibTeX XMLCite \textit{X. Hu} et al., Regul. Chaotic Dyn. 28, No. 4--5, 731--755 (2023; Zbl 07765049) Full Text: DOI
Luo, Yong; Zhang, Liuyang On energy gap phenomena of the Whitney spheres in \(\mathbb{C}^n\) or \(\mathbb{CP}^n\). (English) Zbl 07762274 Chin. Ann. Math., Ser. B 44, No. 4, 599-614 (2023). Reviewer: Yun Myung Oh (Berrien Springs) MSC: 53D12 53C24 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{L. Zhang}, Chin. Ann. Math., Ser. B 44, No. 4, 599--614 (2023; Zbl 07762274) Full Text: DOI arXiv
Hughes, James Lagrangian fillings in \(A\)-type and their Kálmán loop orbits. (English) Zbl 07755943 Rev. Mat. Iberoam. 39, No. 5, 1681-1723 (2023). MSC: 53D12 53D35 53D10 57K10 57K33 PDFBibTeX XMLCite \textit{J. Hughes}, Rev. Mat. Iberoam. 39, No. 5, 1681--1723 (2023; Zbl 07755943) Full Text: DOI arXiv
Polterovich, Leonid; Shelukhin, Egor Lagrangian configurations and Hamiltonian maps. (English) Zbl 07744976 Compos. Math. 159, No. 12, 2483-2520 (2023). Reviewer: Stéphane Tchuiaga (Buea) MSC: 53D40 53D37 53D12 37K65 PDFBibTeX XMLCite \textit{L. Polterovich} and \textit{E. Shelukhin}, Compos. Math. 159, No. 12, 2483--2520 (2023; Zbl 07744976) Full Text: DOI arXiv OA License
Hind, Richard; Zhang, Jun Hamiltonian knottedness and lifting paths from the shape invariant. (English) Zbl 07744974 Compos. Math. 159, No. 11, 2416-2457 (2023). MSC: 53D12 53D35 PDFBibTeX XMLCite \textit{R. Hind} and \textit{J. Zhang}, Compos. Math. 159, No. 11, 2416--2457 (2023; Zbl 07744974) Full Text: DOI arXiv OA License
Álvarez-Gavela, Daniel; Eliashberg, Yakov; Nadler, David Arboreal models and their stability. (English) Zbl 07744114 J. Symplectic Geom. 21, No. 2, 331-381 (2023). Reviewer: Maria Aparecida Soares Ruas (São Carlos) MSC: 53D12 57R45 PDFBibTeX XMLCite \textit{D. Álvarez-Gavela} et al., J. Symplectic Geom. 21, No. 2, 331--381 (2023; Zbl 07744114) Full Text: DOI arXiv
Pan, Yu; Rutherford, Dan Augmentations and immersed Lagrangian fillings. (English) Zbl 07738235 J. Topol. 16, No. 1, 368-429 (2023). MSC: 53D42 53D12 PDFBibTeX XMLCite \textit{Y. Pan} and \textit{D. Rutherford}, J. Topol. 16, No. 1, 368--429 (2023; Zbl 07738235) Full Text: DOI arXiv
Athreya, Jayadev S.; Fan, Yu-Wei; Lee, Heather Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces. (English) Zbl 07729226 Geom. Dedicata 217, No. 5, Paper No. 89, 21 p. (2023). MSC: 53D12 14J28 PDFBibTeX XMLCite \textit{J. S. Athreya} et al., Geom. Dedicata 217, No. 5, Paper No. 89, 21 p. (2023; Zbl 07729226) Full Text: DOI arXiv
Elyseeva, Julia; Šepitka, Peter; Šimon Hilscher, Roman Oscillation numbers for continuous Lagrangian paths and Maslov index. (English) Zbl 07729213 J. Dyn. Differ. Equations 35, No. 3, 2589-2620 (2023). Reviewer: Manuel de León (Madrid) MSC: 37J51 37J46 34C10 53D12 11P82 PDFBibTeX XMLCite \textit{J. Elyseeva} et al., J. Dyn. Differ. Equations 35, No. 3, 2589--2620 (2023; Zbl 07729213) Full Text: DOI arXiv
Howard, Peter The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\). (English) Zbl 07729190 J. Dyn. Differ. Equations 35, No. 3, 1947-1991 (2023). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J51 34B24 53D12 PDFBibTeX XMLCite \textit{P. Howard}, J. Dyn. Differ. Equations 35, No. 3, 1947--1991 (2023; Zbl 07729190) Full Text: DOI arXiv
Guillermou, Stéphane Sheaves and symplectic geometry of cotangent bundles. (English) Zbl 07722425 Astérisque 440. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-972-2/pbk). x, 274 p. (2023). Reviewer: Wenyuan Li (Los Angeles) MSC: 53-02 53D05 53D12 53D37 53D35 53C24 14F06 14F10 32C38 PDFBibTeX XMLCite \textit{S. Guillermou}, Sheaves and symplectic geometry of cotangent bundles. Paris: Société Mathématique de France (SMF) (2023; Zbl 07722425) Full Text: DOI arXiv
Chassé, Jean-Philippe Convergence and Riemannian bounds on Lagrangian submanifolds. (English) Zbl 07682703 Int. J. Math. 34, No. 5, Article ID 2350024, 34 p. (2023). MSC: 53D12 53C17 32Q65 53B20 PDFBibTeX XMLCite \textit{J.-P. Chassé}, Int. J. Math. 34, No. 5, Article ID 2350024, 34 p. (2023; Zbl 07682703) Full Text: DOI arXiv
Akbay, Alev Kelleci; Turgay, Nurettin Cenk; Ergut, Mahmut On space-like generalized constant ratio hypersufaces in Minkowski spaces. (English) Zbl 07794372 TWMS J. Pure Appl. Math. 13, No. 1, 25-37 (2022). MSC: 53C42 53D12 53B25 PDFBibTeX XMLCite \textit{A. K. Akbay} et al., TWMS J. Pure Appl. Math. 13, No. 1, 25--37 (2022; Zbl 07794372) Full Text: arXiv Link
Álvarez-Gavela, Daniel; Eliashberg, Yakov; Nadler, David Geomorphology of Lagrangian ridges. (English) Zbl 07738220 J. Topol. 15, No. 2, 844-877 (2022). Reviewer: Jean-Philippe Chassé (Zürich) MSC: 53D12 53D05 58A30 PDFBibTeX XMLCite \textit{D. Álvarez-Gavela} et al., J. Topol. 15, No. 2, 844--877 (2022; Zbl 07738220) Full Text: DOI arXiv OA License
El Emam, Christian; Seppi, Andrea On the Gauss map of equivariant immersions in hyperbolic space. (English) Zbl 07738205 J. Topol. 15, No. 1, 238-301 (2022). MSC: 53C42 53A07 53D12 57K32 PDFBibTeX XMLCite \textit{C. El Emam} and \textit{A. Seppi}, J. Topol. 15, No. 1, 238--301 (2022; Zbl 07738205) Full Text: DOI arXiv
Rollin, Yann Polyhedral approximation by Lagrangian and isotropic tori. (English) Zbl 07681994 J. Symplectic Geom. 20, No. 6, 1349-1383 (2022). MSC: 53C42 53D12 PDFBibTeX XMLCite \textit{Y. Rollin}, J. Symplectic Geom. 20, No. 6, 1349--1383 (2022; Zbl 07681994) Full Text: DOI arXiv
Wasilewicz, Michał Andrzej Elementary relative tractor calculus for Legendrean contact structures. (English) Zbl 07655752 Arch. Math., Brno 58, No. 5, 339-347 (2022). MSC: 53D12 PDFBibTeX XMLCite \textit{M. A. Wasilewicz}, Arch. Math., Brno 58, No. 5, 339--347 (2022; Zbl 07655752) Full Text: DOI arXiv
Golovko, Roman On topologically distinct infinite families of exact Lagrangian fillings. (English) Zbl 07655749 Arch. Math., Brno 58, No. 5, 287-293 (2022). MSC: 53D12 53D42 PDFBibTeX XMLCite \textit{R. Golovko}, Arch. Math., Brno 58, No. 5, 287--293 (2022; Zbl 07655749) Full Text: DOI
Shelukhin, Egor Viterbo conjecture for Zoll symmetric spaces. (English) Zbl 07585648 Invent. Math. 230, No. 1, 321-373 (2022). MSC: 53D12 53C35 37Jxx 57R17 PDFBibTeX XMLCite \textit{E. Shelukhin}, Invent. Math. 230, No. 1, 321--373 (2022; Zbl 07585648) Full Text: DOI arXiv
Luo, Yong; Sun, Linlin; Yin, Jiabin An optimal pinching theorem of minimal Legendrian submanifolds in the unit sphere. (English) Zbl 07573941 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 192, 18 p. (2022). Reviewer: Shimpei Kobayashi (Sapporo) MSC: 53C20 53C24 53C40 53D12 PDFBibTeX XMLCite \textit{Y. Luo} et al., Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 192, 18 p. (2022; Zbl 07573941) Full Text: DOI
Xing, Qin Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space. (English) Zbl 07522886 Topol. Methods Nonlinear Anal. 59, No. 1, 113-130 (2022). Reviewer: Weinian Zhang (Chengdu) MSC: 34C37 53D12 PDFBibTeX XMLCite \textit{Q. Xing}, Topol. Methods Nonlinear Anal. 59, No. 1, 113--130 (2022; Zbl 07522886) Full Text: DOI
Kim, Joontae; Moon, Jiyeon Anti-symplectic involutions for Lagrangian spheres in a symplectic quadric surface. (English) Zbl 07729433 Bull. Lond. Math. Soc. 53, No. 6, 1717-1723 (2021). Reviewer: Hulya Arguz (Athens, GA) MSC: 53D12 55M35 32Q65 PDFBibTeX XMLCite \textit{J. Kim} and \textit{J. Moon}, Bull. Lond. Math. Soc. 53, No. 6, 1717--1723 (2021; Zbl 07729433) Full Text: DOI arXiv
Báez, Jhoan; San Martin, Luiz A. B. Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds. (English) Zbl 07341150 Differ. Geom. Appl. 75, Article ID 101719, 21 p. (2021). MSC: 22E30 22F30 53D12 PDFBibTeX XMLCite \textit{J. Báez} and \textit{L. A. B. San Martin}, Differ. Geom. Appl. 75, Article ID 101719, 21 p. (2021; Zbl 07341150) Full Text: DOI arXiv
Golovko, Roman On variants of Arnold conjecture. (English) Zbl 07285965 Arch. Math., Brno 56, No. 5, 277-286 (2020). MSC: 53D12 53D42 PDFBibTeX XMLCite \textit{R. Golovko}, Arch. Math., Brno 56, No. 5, 277--286 (2020; Zbl 07285965) Full Text: DOI
Booß-Bavnbek, Bernhelm; Zhu, Chaofeng The Maslov index in symplectic Banach spaces. (English) Zbl 07000096 Memoirs of the American Mathematical Society 1201. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2800-6/print; 978-1-4704-4371-9/ebook). x, 122 p. (2018). MSC: 53D12 58J30 PDFBibTeX XMLCite \textit{B. Booß-Bavnbek} and \textit{C. Zhu}, The Maslov index in symplectic Banach spaces. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 07000096) Full Text: DOI arXiv