Linear hyperelliptic Hodge integrals

DOI10.1007/s00229-023-01519-xzbMATH Open1542.05183MaRDI QIDQ6564476

Adam Afandi

Publication date: 1 July 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic locusHodge bundleAtiyah-Bott localization

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

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• Abelian Hurwitz-Hodge integrals
• Generating functions for Hurwitz-Hodge integrals
• Computing genus-zero twisted Gromov-Witten invariants
• Localization of virtual classes
• Equivariant GW theory of stacky curves
• A mirror theorem for the mirror quintic
• The irreducibility of the space of curves of a given genus
• Gerby localization, ℤ₃-Hodge integrals and the GW theory of [ℂ³/ℤ₃]
• Gromov-Witten theory of Deligne-Mumford stacks
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.

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