TITLE

Recursion Formulae of Higher Weil—Petersson Volumes

AUTHOR(S)
Kefeng Liu; Hao Xu
PUB. DATE
March 2009
SOURCE
IMRN: International Mathematics Research Notices;Mar2009, Vol. 2009 Issue 5, p835
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we study effective recursion formulae for computing intersection numbers of mixed and classes on moduli spaces of curves. By using the celebrated Witten–Kontsevich theorem, we generalize Mulase–Safnuk form of Mirzakhani's recursion and prove a recursion formula of higher Weil–Petersson volumes. We also present recursion formulae to compute intersection pairings in the tautological rings of moduli spaces of curves.
ACCESSION #
45229722

 

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