scholarly journals From Kontsevich-Witten to linear Hodge integrals via Virasoro operators

2018 ◽  
Vol 59 (12) ◽  
pp. 123502
Author(s):  
Gehao Wang
Keyword(s):  
Author(s):  
Maxim Kazarian

Abstract We derive a quadratic recursion relation for the linear Hodge integrals of the form $\langle \tau _{2}^{n}\lambda _{k}\rangle $ . These numbers are used in a formula for Masur-Veech volumes of moduli spaces of quadratic differentials discovered by Chen, Möller and Sauvaget. Therefore, our recursion provides an efficient way of computing these volumes.


2009 ◽  
Vol 221 (1) ◽  
pp. 1-21 ◽  
Author(s):  
M. Kazarian
Keyword(s):  

Author(s):  
Si-Qi Liu ◽  
Di Yang ◽  
Youjin Zhang ◽  
Chunhui Zhou

Abstract The Hodge-FVH correspondence establishes a relationship between the special cubic Hodge integrals and an integrable hierarchy, which is called the fractional Volterra hierarchy. In this paper we prove this correspondence. As an application of this result, we prove a gap condition for certain special cubic Hodge integrals and give an algorithm for computing the coefficients that appear in the gap condition.


2001 ◽  
Vol 83 (3) ◽  
pp. 563-581 ◽  
Author(s):  
I. P. Goulden ◽  
D. M. Jackson ◽  
R. Vakil

2009 ◽  
Vol 131 (4) ◽  
pp. 1009-1046 ◽  
Author(s):  
Charles Cadman ◽  
Renzo Cavalieri
Keyword(s):  

2000 ◽  
Vol 139 (1) ◽  
pp. 173-199 ◽  
Author(s):  
C. Faber ◽  
R. Pandharipande

2004 ◽  
Vol 8 (2) ◽  
pp. 675-699 ◽  
Author(s):  
Andrei Okounkov ◽  
Rahul Pandharipande
Keyword(s):  

2011 ◽  
Vol 60 (1) ◽  
pp. 171-198 ◽  
Author(s):  
Paul Johnson ◽  
Rahul Pandharipande ◽  
Hsian-Hua Tseng
Keyword(s):  

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