|
Zapiski Nauchnykh Seminarov POMI, 2019, Volume 485, Pages 72–77
(Mi znsl6871)
|
|
|
|
A combinatorial formula for monomials in Kontsevich's $\psi$-classes
J. Gordonabc, G. Paninadb a Chebyshev Laboratory, St. Petersburg State University
b St. Petersburg Department of Steklov Institute of Mathematics
c International Laboratory
of Game Theory and Decision Making,
National Research University
Higher School of Economics
d St. Petersburg State University
Abstract:
Diagonal complexes provide a simplicial model for the Kontsevich's tautological bundles over $\mathcal{M}_{g,n}$. Local combinatorial formula for the first Chern class yields a combinatorial formula for the $\psi$-classes (that is, first Chern classes of the tautological bundles). In the present paper we derive a formula for arbitrary monomials in $\psi$-classes.
Key words and phrases:
moduli space, ribbon graphs, curve complex, associahedron, Chern class.
Received: 08.10.2019
Citation:
J. Gordon, G. Panina, “A combinatorial formula for monomials in Kontsevich's $\psi$-classes”, Representation theory, dynamical systems, combinatorial methods. Part XXXI, Zap. Nauchn. Sem. POMI, 485, POMI, St. Petersburg, 2019, 72–77
Linking options:
https://www.mathnet.ru/eng/znsl6871 https://www.mathnet.ru/eng/znsl/v485/p72
|
Statistics & downloads: |
Abstract page: | 89 | Full-text PDF : | 32 | References: | 18 |
|