T. Ekedahl, S. Lando, M. Shapiro, A. Vainshtein. On Hodge integrals and Hurwitz numbers // Invent. math., 2001, vol. 146, 2, 297–327 (or math.AG/0004096).
B. Shapiro, M. Shapiro, A. Vainshtein, and A. Zelevinsky. Simply–laced Coxeter groups and groups generated by symplectic transvections // Michigan Math. Journal, special volume in honor of William Fulton, 2000, {48}, 531–551.
A. Postnikov, B. Shapiro and M. Shapiro. Algebras of curvature forms on homogeneous manifolds // Differential topology, infinite–dimensional Lie algebras, and applications, Amer. Math. Soc. Transl. Ser. 2, 1999, {194}, Amer. Math. Soc., Providence, RI, 227–235.
M. I. Gekhtman and M. Z. Shapiro. Non–commutative and commutative integrability of generic Toda flows in simple Lie algebras // Comm. Pure and Appl. Math. 1999,{vol. LII}, 53–84.
B. B. Z.Shapiro and M. Z. Shapiro. On ring generated by Chern curvature forms on SL_n // C. R. Acad. Sci. Paris Ser. I Math. 1998, {326}, 75–80.
Leonid O. Chekhov, Michael Shapiro, “Log-Canonical Coordinates for Symplectic Groupoid and Cluster Algebras”, Int. Math. Res. Not. IMRN, 2023:11 (2023), 9565–9652
L. O. Chekhov, M. Z. Shapiro, H. Shibo, “Roots of the characteristic equation for the symplectic groupoid”, Uspekhi Mat. Nauk, 77:3(465) (2022), 177–178; Russian Math. Surveys, 77:3 (2022), 552–554
2021
3.
Nicolau Saldanha, Boris Shapiro, Michael Shapiro, “Grassmann convexity and multiplicative Sturm theory, revisited”, Mosc. Math. J., 21:3 (2021), 613–637
L. Chekhov, M. Shapiro, “Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables”, Int. Math. Res. Not. IMRN, 2014:10 (2014), 2746–2772
M. Gekhtman, M. Shapiro, A. Vainshtein, “Cluster structures on simple complex Lie groups and Belavin–Drinfeld classification”, Mosc. Math. J., 12:2 (2012), 293–312
M. Z. Shapiro, “A Generalization of the Kuiper–Massey Theorem”, Funktsional. Anal. i Prilozhen., 28:2 (1994), 90–91; Funct. Anal. Appl., 28:2 (1994), 146–147
M. Z. Shapiro, “Topology of the space of nondegenerate curves”, Izv. RAN. Ser. Mat., 57:5 (1993), 106–126; Russian Acad. Sci. Izv. Math., 43:2 (1994), 291–310
M. Z. Shapiro, “Topology of the space of nondegenerate curves”, Funktsional. Anal. i Prilozhen., 26:3 (1992), 93–96; Funct. Anal. Appl., 26:3 (1992), 227–229
Yu. V. Kuz'min, M. Z. Shapiro, “The connection between varieties of groups and varieties of Lie rings”, Sibirsk. Mat. Zh., 28:5 (1987), 100–101; Siberian Math. J., 28:5 (1987), 771–772
Darboux coordinates for symplectic groupoid M. Shapiro 7th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion (MoSCATR VII) June 4, 2021 16:00
Cluster structures on Poisson-Lie groups M. Z. Shapiro Fourth international workshop "Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion" May 28, 2014 10:00
Contact us: