| Frobenius manifolds and formality of Lie algebras of polyvector fields S Barannikov, M Kontsevich arXiv preprint alg-geom/9710032, 1997 | 301 | 1997 |
| The framed Morse complex and its invariants S Barannikov Advances in Soviet Mathematics, 21 (DOI : 10.1090/advsov/021/03), 93-116, 1994 | 124 | 1994 |
| Quantum periods, I: semi-infinite variations of Hodge structures S Barannikov International Mathematics Research Notices 2001 (23), 1243-1264, 2000 | 107 | 2000 |
| Semi-infinite Hodge structures and mirror symmetry for projective spaces S Barannikov arXiv preprint math/0010157, 2000 | 79* | 2000 |
| Modular operads and Batalin-Vilkovisky geometry S Barannikov International Mathematics Research Notices, preprint MPI 2006-48 2007 (doi …, 2006 | 57 | 2006 |
| Generalized periods and mirror symmetry in dimensions n> 3 S Barannikov arXiv preprint math/9903124, 1999 | 35 | 1999 |
| Non-Commutative Periods and Mirror Symmetry in Higher Dimensions S Barannikov Communications in mathematical physics 228 (2), 281-325, 2002 | 25 | 2002 |
| Noncommutative Batalin–Vilkovisky geometry and matrix integrals S Barannikov Comptes Rendus Mathématique (2010), preprint hal-00102085 (2006) 348 (7-8 …, 2006 | 16* | 2006 |
| On the space of real polynomials without multiple critical values SA Barannikov Functional Analysis and Its Applications 26 (2), 84-90, 1992 | 15 | 1992 |
| Solving the noncommutative Batalin–Vilkovisky equation S Barannikov Letters in Mathematical Physics 103 (6), 605-628, 2013 | 13 | 2013 |
| Extended moduli spaces and mirror symmetry in dimensions n> 3 SA Barannikov PhD Thesis.UNIVERSITY OF CALIFORNIA, BERKELEY, 47 pages, 1998 | 13* | 1998 |
| Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type S Barannikov International Mathematics Research Notices 2002 (19), 973-990, 2002 | 11 | 2002 |
| Quantum periods–I S Barannikov Semi-infinite variations of Hodge structures, alggeom/0006193, to appear in IMRN, 2000 | 11 | 2000 |
| Matrix De Rham complex and quantum A-infinity algebras S Barannikov Letters in Mathematical Physics 104 (4), 373-395, 2014 | 10 | 2014 |
| Supersymmetry and cohomology of graph complexes S Barannikov hal-00429963(2009) arXiv:1803.11549, Lett Math Phys (2018) https://doi.org …, 2009 | 10* | 2009 |
| Manifold Topology Divergence: a Framework for Comparing Data Manifolds S Barannikov, I Trofimov, G Sotnikov, E Trimbach, A Korotin, A Filippov, ... Thirty-Fifth Conference on Neural Information Processing Systems (NeurIPS 2021), 2021 | 5 | 2021 |
| Artificial text detection via examining the topology of attention maps L Kushnareva, D Cherniavskii, V Mikhailov, E Artemova, S Barannikov, ... arXiv preprint arXiv:2109.04825, 2021 | 4 | 2021 |
| Topological obstructions in neural networks learning S Barannikov, G Sotnikov, I Trofimov, A Korotin, E Burnaev arXiv preprint arXiv:2012.15834, 2020 | 4 | 2020 |
| Supersymmetric matrix integrals and sigma-models. S Barannikov hal-00443592(2009), 2009 | 4 | 2009 |
| Canonical Forms= Persistence Diagrams. Tutorial S Barannikov European Workshop on Computational Geometry (EuroCG 2021), 2021 | 3 | 2021 |
Evgeny BurnaevSkolkovo Institute of Science and TechnologyVerified email at skoltech.ru
