Algebraic structures on the topology of moduli spaces of curves and maps

Abstract

We discuss selected topics on the topology of moduli spaces of curves and maps, emphasizing their relation with Gromov--Witten theory and integrable systems.

References in corpus (11)

• The structure of 2D semi-simple field theories
• Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
• On the tautological ring of $\M _g$
• Tautological relations and the r-spin Witten conjecture
• An algebro-geometric proof of Witten's conjecture
• Virasoro constraints and the Chern classes of the Hodge bundle
• Three questions in Gromov-Witten theory
• Wheeled PROPs, graph complexes and the master equation
• KP hierarchy for Hodge integrals
• The KP hierarchy, branched covers, and triangulations
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Cited by in corpus (3)

• A polynomial bracket for the Dubrovin--Zhang hierarchies
• Givental symmetries of Frobenius manifolds and multi-component KP tau-functions
• Compactified Picard stacks over the moduli stack of stable curves with marked points