Cluster algebras and triangulated surfaces. Part I: Cluster complexes S Fomin, M Shapiro, D Thurston Acta Mathematica 201 (1), 83-146, 2008 | 816 | 2008 |
Cluster algebras and Poisson geometry M Gekhtman, M Shapiro, A Vainshtein American Mathematical Soc., 2010 | 455* | 2010 |
Hurwitz numbers and intersections on moduli spaces of curves T Ekedahl, S Lando, M Shapiro, A Vainshtein Inventiones Mathematicae 146 (2), 297-327, 2001 | 408 | 2001 |
Cluster algebras and Poisson geometry M Gekhtman, MZ Shapiro, AD Vainshtein Moscow Mathematical Journal 3 (3), 899-934, 2003 | 286 | 2003 |
Cluster algebras and Weil-Petersson forms M Gekhtman, M Shapiro, A Vainshtein Duke Mathematical Journal 127 (2), 291-311, 2005 | 209 | 2005 |
Skew-symmetric cluster algebras of finite mutation type A Felikson, M Shapiro, P Tumarkin Journal of the European Mathematical Society 14 (4), 1135-1180, 2012 | 161* | 2012 |
On Hurwitz numbers and Hodge integrals T Ekedahl, S Lando, M Shapiro, A Vainshtein Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 328 (12 …, 1999 | 116 | 1999 |
Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables L Chekhov, M Shapiro International Mathematics Research Notices 2014 (10), 2746-2772, 2014 | 86 | 2014 |
Cluster algebras of finite mutation type via unfoldings A Felikson, M Shapiro, P Tumarkin International Mathematics Research Notices 2012 (8), 1768-1804, 2012 | 86 | 2012 |
Cluster algebras of finite mutation type via unfoldings A Felikson, M Shapiro, P Tumarkin International Mathematics Research Notices 2012 (8), 1768-1804, 2012 | 86 | 2012 |
Cluster algebras and triangulated orbifolds A Felikson, M Shapiro, P Tumarkin Advances in Mathematics 231 (5), 2953-3002, 2012 | 72 | 2012 |
Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective M Gekhtman, M Shapiro, A Vainshtein Acta Mathematica 206 (2), 245-310, 2011 | 60 | 2011 |
Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective M Gekhtman, M Shapiro, A Vainshtein Acta mathematica 206 (2), 245-310, 2011 | 60 | 2011 |
Integrable cluster dynamics of directed networks and pentagram maps M Gekhtman, M Shapiro, S Tabachnikov, A Vainshtein Advances in Mathematics 300, 390-450, 2016 | 59 | 2016 |
Chamber behavior of double Hurwitz numbers in genus 0 S Shadrin, M Shapiro, A Vainshtein Advances in Mathematics 217 (1), 79-96, 2008 | 55 | 2008 |
On the properties of the exchange graph of a cluster algebra M Gekhtman, M Shapiro, A Vainshtein Arxiv preprint math/0703151, 2007 | 55 | 2007 |
Poisson geometry of directed networks in an annulus M Gekhtman, M Shapiro, A Vainshtein Journal of the European Mathematical Society 14 (2), 541-570, 2012 | 53 | 2012 |
Strong many-particle localization and quantum computing with perpetually coupled qubits LF Santos, MI Dykman, M Shapiro, FM Izrailev Physical Review A 71 (1), 012317, 2005 | 53 | 2005 |
Higher pentagram maps, weighted directed networks, and cluster dynamics M Gekhtman, M Shapiro, S Tabachnikov, A Vainshtein Arxiv preprint arXiv:1110.0472, 2011 | 52 | 2011 |
Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras M Gekhtman, M Shapiro arXiv preprint solv-int/9704011, 1997 | 52 | 1997 |