Elliptic genera and $SL(2,Z)$ modular forms for fibre bundles

Fuente: arXiv
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Autor principal: Wang, Yong
Formato: Preprint
Publicado: 2026
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author Wang, Yong
author_facet Wang, Yong
contents By the family index theory, we generalize some well-known $SL(2,Z)$ modular forms to the family case and obtain some new anomaly cancellation formulas for the determinant line bundle and index gerbes, and certain results about eta invariants. Moreover, for the higher degree case, we give some anomaly cancellation formulas of residue Chern forms.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04675
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Elliptic genera and $SL(2,Z)$ modular forms for fibre bundles
Wang, Yong
Differential Geometry
By the family index theory, we generalize some well-known $SL(2,Z)$ modular forms to the family case and obtain some new anomaly cancellation formulas for the determinant line bundle and index gerbes, and certain results about eta invariants. Moreover, for the higher degree case, we give some anomaly cancellation formulas of residue Chern forms.
title Elliptic genera and $SL(2,Z)$ modular forms for fibre bundles
topic Differential Geometry
url https://arxiv.org/abs/2603.04675