9 citations · 20 across the 4 of their papers we have counts for
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The jet-space of a Frobenius manifold and higher-genus Gromov-Witten invariants
Ezra Getzler
Let X be a projective manifold, and let H be the associated small phase space; this is a Frobenius manifold with canonical choice of fundamental solution for the Dubrovin connectio…
The equivariant Toda lattice, II
Ezra Getzler
Applying recent ideas of Carlet, Dubrovin and Zhang (to appear), who, following a suggestion of Eguchi and Yang (hep-th/9407134), study the logarithm of the Lax operator of the Tod…
Multipoint series of Gromov-Witten invariants of CP^1
Ezra Getzler, Andrei Okounkov, Rahul Pandharipande
We give explicit formulas for the multipoint series of Gromov-Witten invariants of CP^1. We use the recursions of the Toda hierarchy to calculate these in degree 0, and the Toda eq…
The equivariant Toda lattice, I
Ezra Getzler
We study a reduction of the Toda lattice in the limit of infintesimal lattice spacing. Using this reduction, we formulate a conjecture for the equivariant Gromov-Witten invariants…
The Toda conjecture
Ezra Getzler
We study the Toda conjecture of Eguchi and Yang for the Gromov-Witten invariants of CP^1,using the bihamiltonian method of the formal calculus of variations. We also study its rela…
Euler characteristics of local systems on
Ezra Getzler
We calculate the Euler characteristics of the local systems S^k(V) \otimes S^l\Wedge^2(V) on the moduli space M_2 of curves of genus 2, where V is the rank 4 local system R^1π_*C.