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math.AGOct 1, 2020
1
citations (OpenAlex)
authors
  • Alexey Kalugin
arXiv abstractPDF
paper

Getzler-Kapranov complexes and moduli stacks of curves

arXiv:2010.15804

Abstract

In this paper, we study the so-called Getzler-Kapranov complexes and their relation to the cohomology of moduli stacks of curves.

arXiv comment28 pages. Proofs clarified a section about ribbon graphs was moved to the independent paper arXiv:2205.00854

References in corpus (11)

  • Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
  • Deformation theory of representations of prop(erad)s
  • On a theorem of Kontsevich
  • Tropical curves, graph complexes, and top weight cohomology of M_g
  • Topology of moduli spaces of tropical curves with marked points
  • The tropicalization of the moduli space of curves II: Topology and applications
  • Equivariant geometry and the cohomology of the moduli space of curves
  • Mixed Hodge structures and formality of symmetric monoidal functors
  • Oriented hairy graphs and moduli spaces of curves
  • On the cusp form motives in genus 1 and level 1
  • Hairy graphs to ribbon graphs via a fixed source graph complex
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