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Localization, cobordism, and twisted χy-genera of ℳ̅0,n
Abstract
We use the method of equivariant localization to obtain a recursion for the cobordism-valued one-point psi-class intersections on ℳ̅0,n, and hence the cobordism classes [ℳ̅0,n]. Restricting to the hyperbolic formal group law, we recover the Poincaré polynomials of ℳ̅0,n as a special case, and obtain new formulas for Hirzebruch χy-genera of ℳ̅0,n twisted by tautological line bundles.
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BibTeX
@misc{ellisbloor2026localization,
title = {{Localization, cobordism, and twisted $χ_y$-genera of $\overline\mathcalM_0,n$}},
author = {Benjamin Ellis-Bloor},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37628},
eprint = {2610.37628},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37628},
}
RIS
TY - UNPB
TI - Localization, cobordism, and twisted χ_y-genera of ℳ̅_0,n
AU - Benjamin Ellis-Bloor
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37628
UR - https://arxiv.org/abs/2610.37628
AB - We use the method of equivariant localization to obtain a recursion for the cobordism-valued one-point psi-class intersections on ℳ̅_0,n, and hence the cobordism classes [ℳ̅_0,n]. Restricting to the hyperbolic formal group law, we recover the Poincaré polynomials of ℳ̅_0,n as a special case, and obtain new formulas for Hirzebruch χ_y-genera of ℳ̅_0,n twisted by tautological line bundles.
ER -