129 citations · 1.2k across the 37 of their papers we have counts for
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math.QA2004★ 26 cited
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…
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…