26 citations · 94 across the 5 of their papers we have counts for
Showing math.AGShow all
3 papers · 1 filter
math.AG2004★ 21 cited
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…
math.AG2003★ 19 cited
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…
math.AG2003★ 5 cited
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…