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19922026
most citedOperads, homotopy algebra and iterated integrals for double loop spaces

394 citations · 1.6k across the 41 of their papers we have counts for

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12 papers · 1 filter

math.AG2015★ 11 cited

Geometric higher groupoids and categories

Kai Behrend, Ezra Getzler

In an enriched setting, we show that higher groupoids and higher categories form categories of fibrant objects. The nerve of a differential graded algebra is a higher category in t…

math.AG2015★ 2 cited

The derived Maurer-Cartan locus

Ezra Getzler

The derived Maurer-Cartan locus is a functor from differential graded Lie algebras to cosimplicial schemes. If L is differential graded Lie algebra, let $L_+…

math.AG2002★ 4 cited

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…

math.AG2002★ 1 cited

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…

math.AG2002★ 6 cited

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…

math.AG2002★ 9 cited

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…