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Mostovoy, Jacob

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 Author ID: mostovoy.jacob Published as: Mostovoy, J.; Mostovoy, Jacob External Links: MGP
 Documents Indexed: 32 Publications since 1998, including 1 Book
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Co-Authors

 12 single-authored 7 Pérez-Izquierdo, José María 4 Shestakov, Ivan Pavlovich 2 Sadykov, Rustam 2 Stanford, Theodore B. 1 Conant, James 1 Maya, Joaquin 1 Munguía-Villanueva, Eréndira 1 Roque-Márquez, Christopher 1 Stanford, Ted 1 Willerton, Simon
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Serials

 3 Journal of Knot Theory and its Ramifications 2 Topology 2 The Quarterly Journal of Mathematics 1 American Mathematical Monthly 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Revista Colombiana de Matemáticas 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Forum Mathematicum 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Transformation Groups 1 Homology, Homotopy and Applications 1 Bulletin of Mathematical Sciences 1 Arnold Mathematical Journal
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Fields

 11 Group theory and generalizations (20-XX) 8 Nonassociative rings and algebras (17-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX)

Citations contained in zbMATH

24 Publications have been cited 170 times in 125 Documents Cited by Year
Introduction to Vassiliev knot invariants. Zbl 1245.57003
Chmutov, S.; Duzhin, S.; Mostovoy, J.
2012
Formal multiplications, bialgebras of distributions and nonassociative Lie theory. Zbl 1227.17010
Mostovoy, J.; Pérez-Izquierdo, J. M.
2010
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
2014
Nilpotency and dimension series for loops. Zbl 1151.20052
Mostovoy, Jacob
2008
Lattices in $$\mathbb C$$ and finite subsets of a circle. Zbl 1138.54307
Mostovoy, Jacob
2004
Dimension filtration on loops. Zbl 1146.20052
Mostovoy, J.; Pérez-Izquierdo, J. M.
2007
Spaces of rational maps and the Stone-Weierstrass theorem. Zbl 1086.58005
Mostovoy, Jacob
2006
The notion of lower central series for loops. Zbl 1288.20097
Mostovoy, Jacob
2006
Spaces of morphisms from a projective space to a toric variety. Zbl 1350.14037
Mostovoy, Jacob; Munguía-Villanueva, Eréndira
2014
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
2014
A comment on the integration of Leibniz algebras. Zbl 1376.17005
Mostovoy, J.
2013
Truncated simplicial resolutions and spaces of rational maps. Zbl 1237.58012
Mostovoy, Jacob
2012
Ideals in non-associative universal enveloping algebras of Lie triple systems. Zbl 1208.17006
Mostovoy, Jacob; Pérez-Izquierdo, José M.
2010
On a map from pure braids to knots. Zbl 1053.57006
Mostovoy, Jacob; Stanford, Theodore
2003
Planar pure braids on six strands. Zbl 07182541
Mostovoy, Jacob; Roque-Márquez, Christopher
2020
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
2017
Free groups and finite-type invariants of pure braids. Zbl 1002.57028
Mostovoy, Jacob; Willerton, Simon
2002
Spaces of rational loops on a real projective space. Zbl 0979.55008
Mostovoy, Jacob
2001
Partial monoids and Dold-Thom functors. Zbl 1334.55002
Mostovoy, Jacob
2014
A toy theory of Vassiliev invariants. Zbl 1137.57012
Duzhin, S.; Mostovoy, J.
2006
Finite-type knot invariants based on the band-pass and doubled-delta moves. Zbl 1193.57005
Conant, James; Mostovoy, Jacob; Stanford, Ted
2010
Classical dynamics in deformed spaces. Zbl 1042.70009
Leznov, A.; Mostovoy, J.
2003
Short ropes and long knots. Zbl 1031.57011
Mostovoy, Jacob
2002
Algebraic cycles and antiholomorphic involutions on projective spaces. Zbl 1072.14507
Mostovoy, Jacob
2000
Planar pure braids on six strands. Zbl 07182541
Mostovoy, Jacob; Roque-Márquez, Christopher
2020
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
2017
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
2014
Spaces of morphisms from a projective space to a toric variety. Zbl 1350.14037
Mostovoy, Jacob; Munguía-Villanueva, Eréndira
2014
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
2014
Partial monoids and Dold-Thom functors. Zbl 1334.55002
Mostovoy, Jacob
2014
A comment on the integration of Leibniz algebras. Zbl 1376.17005
Mostovoy, J.
2013
Introduction to Vassiliev knot invariants. Zbl 1245.57003
Chmutov, S.; Duzhin, S.; Mostovoy, J.
2012
Truncated simplicial resolutions and spaces of rational maps. Zbl 1237.58012
Mostovoy, Jacob
2012
Formal multiplications, bialgebras of distributions and nonassociative Lie theory. Zbl 1227.17010
Mostovoy, J.; Pérez-Izquierdo, J. M.
2010
Ideals in non-associative universal enveloping algebras of Lie triple systems. Zbl 1208.17006
Mostovoy, Jacob; Pérez-Izquierdo, José M.
2010
Finite-type knot invariants based on the band-pass and doubled-delta moves. Zbl 1193.57005
Conant, James; Mostovoy, Jacob; Stanford, Ted
2010
Nilpotency and dimension series for loops. Zbl 1151.20052
Mostovoy, Jacob
2008
Dimension filtration on loops. Zbl 1146.20052
Mostovoy, J.; Pérez-Izquierdo, J. M.
2007
Spaces of rational maps and the Stone-Weierstrass theorem. Zbl 1086.58005
Mostovoy, Jacob
2006
The notion of lower central series for loops. Zbl 1288.20097
Mostovoy, Jacob
2006
A toy theory of Vassiliev invariants. Zbl 1137.57012
Duzhin, S.; Mostovoy, J.
2006
Lattices in $$\mathbb C$$ and finite subsets of a circle. Zbl 1138.54307
Mostovoy, Jacob
2004
On a map from pure braids to knots. Zbl 1053.57006
Mostovoy, Jacob; Stanford, Theodore
2003
Classical dynamics in deformed spaces. Zbl 1042.70009
Leznov, A.; Mostovoy, J.
2003
Free groups and finite-type invariants of pure braids. Zbl 1002.57028
Mostovoy, Jacob; Willerton, Simon
2002
Short ropes and long knots. Zbl 1031.57011
Mostovoy, Jacob
2002
Spaces of rational loops on a real projective space. Zbl 0979.55008
Mostovoy, Jacob
2001
Algebraic cycles and antiholomorphic involutions on projective spaces. Zbl 1072.14507
Mostovoy, Jacob
2000
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Cited by 174 Authors

 11 Pérez-Izquierdo, José María 8 Mostovoy, Jacob 8 Shestakov, Ivan Pavlovich 6 Mironov, Andrei D. 6 Yamaguchi, Kohhei 5 Kozlowski, Andrzej 4 Chmutov, Sergei V. 4 Duzhin, Sergei Vasilievich 4 Morozov, Alexei Yurievich 4 Schrijver, Alexander 3 Alonso Álvarez, José Nicanor 3 Il’yutko, Denis Petrovich 3 Karev, Maksim V. 3 Lando, Sergei K. 3 Mkrtchyan, Ruben L. 3 Nanda, Neha 2 Acan, Hüseyin 2 Bar-Natan, Dror 2 Conant, James 2 Even-Zohar, Chaim 2 Fernández Vilaboa, José Manuel 2 González Rodríguez, Ramón 2 Grishkov, Alexander Nikolaevich 2 Kaĭgorodov, Ivan B. 2 Kharchenko, Vladislav K. 2 Khovanskiĭ, Askold Georgievich 2 Kohno, Toshitake 2 Krasil’shchik, Joseph 2 Mishnyakov, V. 2 Mnëv, Nikolai Evgen’evich 2 Morozov, Al’bert Dmitrievich 2 Naik, Tushar Kanta 2 Panina, Gayanè Yur’evna 2 Petit, Nicolas 2 Polyak, Michael 2 Regts, Guus 2 Romanovskii, Yu. V. 2 Scherbak, Inna 2 Sevenster, Bart 2 Singh, Mahender 2 Sleptsov, A. V. 2 Sleptsov, Alexei 2 Sleptsov, Alexey 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Tuffley, Christopher P. 2 Varchenko, Alexander Nikolaevich 2 Vasil’ev, Viktor Anatol’evich 2 Vershik, Anatoliĭ Moiseevich 2 Volkov, Yuriĭ S. 1 Akofor, Earnest 1 Alexandre, Charles 1 Bandklayder, Lauren 1 Berger, Clemens 1 Bigeni, Ange 1 Biswas, Indranil 1 Bordemann, Martin 1 Borovikova, Marina 1 Bourn, Dominique 1 Brandenbursky, Michael 1 Brochier, Adrien 1 Chang, Hsien-Chih 1 Chew, Lock Yue 1 Chrisman, Micah Whitney 1 dos Santos, Pedro F. 1 Dunin-Barkovskiĭ, Petr Igorevich 1 Erickson, Jeff 1 Filippova, P. A. 1 Frabetti, Alessandra 1 Frolova, Anastasia 1 Furusho, Hidekazu 1 Gammelgaard, Niels Leth 1 Gómez-Gonzáles, Claudio 1 Gügümcü, Neslihan 1 Hass, Joel 1 Ibragimov, Zair 1 Im, Young Ho 1 Ismailov, Nurlan A. 1 Jeong, Myeong-Ju 1 Kauffman, Louis Hirsch 1 Khavinson, Dmitry S. 1 Kholodenko, Arkady L. 1 Kim, Sera 1 Kivotides, Demosthenes 1 Kleptsyn, Victor A. 1 Kolesnikov, Pavel Sergeevich 1 Komendarczyk, Rafal 1 Kovalev, Leonid V. 1 Koytcheff, Robin 1 Kozlov, R. A. 1 Krasil’nikov, E. S. 1 Kravchenko, Olga 1 Kulakova, E. 1 Kwietniak, Dominik 1 Lando, Sergey 1 Lee, Kyeonghui 1 Leonard, Anthony 1 Lima-Filho, Paulo 1 Linial, Nathan 1 Madariaga, Sara 1 Manturov, Vassiliĭ Olegovich ...and 74 more Authors
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Cited in 58 Serials

 17 Journal of Knot Theory and its Ramifications 8 Topology and its Applications 6 Communications in Algebra 5 Journal of High Energy Physics 5 Algebraic & Geometric Topology 4 Journal of Algebra 4 Journal of Combinatorial Theory. Series B 3 Functional Analysis and its Applications 3 European Journal of Combinatorics 3 Journal of Mathematical Sciences (New York) 2 International Journal of Modern Physics A 2 Discrete Mathematics 2 Israel Journal of Mathematics 2 Linear and Multilinear Algebra 2 Physics Letters. B 2 Advances in Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Discrete & Computational Geometry 2 Forum Mathematicum 2 International Journal of Mathematics 2 Linear Algebra and its Applications 2 Journal of Algebraic Combinatorics 2 The New York Journal of Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Homotopy and Related Structures 2 Arnold Mathematical Journal 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Journal of Fluid Mechanics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Chaos, Solitons and Fractals 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 St. Petersburg Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Journal of Lie Theory 1 Algebras and Representation Theory 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Qualitative Theory of Dynamical Systems 1 The Quarterly Journal of Mathematics 1 Computational Methods and Function Theory 1 São Paulo Journal of Mathematical Sciences 1 Journal of Geometric Mechanics 1 Quantum Topology 1 Bulletin of Mathematical Sciences 1 Algebra 1 Research in the Mathematical Sciences 1 Journal of Applied and Computational Topology
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Cited in 32 Fields

 60 Manifolds and cell complexes (57-XX) 30 Nonassociative rings and algebras (17-XX) 30 Group theory and generalizations (20-XX) 17 Combinatorics (05-XX) 17 Algebraic topology (55-XX) 15 Associative rings and algebras (16-XX) 12 Quantum theory (81-XX) 11 Algebraic geometry (14-XX) 9 Category theory; homological algebra (18-XX) 6 Differential geometry (53-XX) 5 General topology (54-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 $$K$$-theory (19-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)