Weight 11 compactly supported cohomology of moduli spaces of curves in excess four
Abstract
In their homonymous article, Sam Payne and Thomas Willwacher construct a combinatorial graph complex to compute the weight 11 part of the compactly supported cohomology of the moduli space of curves $\cM_{g,n}$ and compute explicitly the cohomology of the introduced graph complexes in cases of complexes of excess zero, one, two, and three. In this paper, we extend the computation the cohomology to excess four graph complexes. Along the way, we give more details on generators, the computation process, and the definition of the graph complex.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Publication details
- Journal / source
- Homology Homotopy and Applications
- Publisher
- International Press of Boston
- Volume
- 28
- Issue
- 1
- Pages
- 125–139
- Publication date
- 1 January 2026
- Language
- EN