English

The weight two compactly supported Euler characteristic of moduli spaces of curves

Algebraic Geometry 2025-01-07 v1 Algebraic Topology Quantum Algebra

Abstract

We derive a formula for the generating function for the weight two compactly supported Sn\mathbb S_n-equivariant Euler characteristics of the moduli spaces of curves Mg,n\mathcal M_{g,n}, using graph complexes and calculations inspired by operadic methods.

Keywords

Cite

@article{arxiv.2112.13155,
  title  = {The weight two compactly supported Euler characteristic of moduli spaces of curves},
  author = {Sam Payne and Thomas Willwacher},
  journal= {arXiv preprint arXiv:2112.13155},
  year   = {2025}
}