26 citations · 94 across the 5 of their papers we have counts for
5 papers
The Gromov-Witten potential associated to a TCFT
Kevin J. Costello
This is the sequel to my preprint "TCFTs and Calabi-Yau categories", math.QA/0412149. Here we extend the results of that paper to construct, for certain Calabi-Yau A-infinity categ…
Topological conformal field theories and Calabi-Yau categories
Kevin J. Costello
This is the first of two papers which construct a purely algebraic counterpart to the theory of Gromov-Witten invariants (at all genera). These Gromov-Witten type invariants depend…
The A-infinity operad and the moduli space of curves
Kevin Costello
The modular envelope of a cyclic operad is the smallest modular operad containing it. A modular operad is constructed from moduli spaces of Riemann surfaces with boundary; this mod…
Hilbert schemes, Hecke algebras and the Calogero-Sutherland system
K. Costello, I. Grojnowski
We describe the ring structure of the cohomology of the Hilbert scheme of points for a smooth surface X. When the canonical class K_X = 0, this was done by Lehn and Sorger, extendi…
Higher-genus Gromov-Witten invariants as genus 0 invariants of symmetric products
Kevin Costello
I prove a formula expressing the descendent genus g Gromov-Witten invariants of a projective variety X in terms of genus 0 invariants of its symmetric product stack S^{g+1}(X). Whe…