Toplogical Recursion Relations by Localization

Details Toplogical Recursion Relations by Localization Toplogical Recursion Relations by Localization

2003-10-03

arxiv.org/abs/math/0310050v1

Mathematics

Algebraic Geometry

14 pages, 15 Postscript figures, 3 pictex figures

Scientific paper

Let M_{g,n} be the moduli space of stable genus g curves with n marked points. M_{g,n} has boundary strata consisting of nodal curves. The fundamental classes of these boundary strata may be linearly dependent in the Chow group A_*(M_{g,n}). Relations among these boundary strata can be found by exploiting a localization trick involving stable maps to P^1. This note explains this trick and applies it to give a new derivation of Getzler's relation among codimension 2 boundary strata in M_{1,4}.

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