An introduction to moduli spaces of curves and their intersection theory

2012 ◽  
pp. 667-716 ◽  
Author(s):  
Dimitri Zvonkine
Keyword(s):  
Moduli Spaces ◽  
Intersection Theory ◽  
Moduli Spaces Of Curves

scholarly journals Buryak–Okounkov Formula for the n-Point Function and a New Proof of the Witten Conjecture

2020 ◽  
Author(s):  
Alexander Alexandrov ◽  
Francisco Hernández Iglesias ◽  
Sergey Shadrin
Keyword(s):  
Moduli Spaces ◽  
Integrable Systems ◽  
Intersection Theory ◽  
Intersection Numbers ◽  
Point Function ◽  
Moduli Spaces Of Curves ◽  
Witten Conjecture

Abstract We identify the formulas of Buryak and Okounkov for the $n$-point functions of the intersection numbers of psi-classes on the moduli spaces of curves. This allows us to combine the earlier known results and this one into a principally new proof of the famous Witten conjecture/Kontsevich theorem, where the link between the intersection theory of the moduli spaces and integrable systems is established via the geometry of double ramification cycles.

scholarly journals Moduli spaces of curves with homology chains and c = 1 matrix models

1994 ◽  
Vol 327 (3-4) ◽  
pp. 221-225 ◽  
Author(s):  
A.S. Cattaneo ◽  
A. Gamba ◽  
M. Martellini
Keyword(s):  
Matrix Models ◽  
Moduli Spaces ◽  
Moduli Spaces Of Curves

scholarly journals Correction to: Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials

2021 ◽  
Author(s):  
Dawei Chen ◽  
Martin Möller ◽  
Adrien Sauvaget ◽  
Don Zagier
Keyword(s):  
Moduli Spaces ◽  
Intersection Theory ◽  
Abelian Differentials

A Correction to this paper has been published: https://doi.org/10.1007/s00222-020-00969-4

scholarly journals Moduli Spaces of Curves in Tropical Varieties

2017 ◽  
pp. 253-286
Author(s):  
Andreas Gathmann ◽  
Dennis Ochse
Keyword(s):  
Moduli Spaces ◽  
Moduli Spaces Of Curves ◽  
Tropical Varieties

scholarly journals Relative virtual localization and vanishing of tautological classes on moduli spaces of curves

2005 ◽  
Vol 130 (1) ◽  
pp. 1-37 ◽  
Author(s):  
Tom Graber ◽  
Ravi Vakil
Keyword(s):  
Moduli Spaces ◽  
Moduli Spaces Of Curves ◽  
Virtual Localization

scholarly journals A dilogarithm identity on moduli spaces of curves

2014 ◽  
Vol 97 (2) ◽  
pp. 255-274 ◽  
Author(s):  
Feng Luo ◽  
Ser Peow Tan
Keyword(s):  
Moduli Spaces ◽  
Moduli Spaces Of Curves

scholarly journals Euler characteristics of moduli spaces of curves

2011 ◽  
pp. 487-512 ◽  
Author(s):  
Gilberto Bini ◽  
John Harer
Keyword(s):  
Moduli Spaces ◽  
Euler Characteristics ◽  
Moduli Spaces Of Curves
Sign in / Sign up

Export Citation Format

Share Document