Transgression and twisted anomaly cancellation formulas on odd dimensional manifolds
Yong Wang
TL;DR
This paper investigates the transgression of modularly invariant characteristic forms related to twisted elliptic genera, explores their modularity properties, and derives twisted anomaly cancellation formulas on odd-dimensional manifolds.
Contribution
It introduces new transgression formulas for characteristic forms linked to twisted elliptic genera and establishes their modularity and anomaly cancellation properties on odd-dimensional manifolds.
Findings
Derived transgressed forms related to twisted elliptic genera
Established modularity properties of secondary characteristic forms
Obtained twisted anomaly cancellation formulas on odd-dimensional manifolds
Abstract
We compute the transgressed forms of some modularly invariant characteristic forms,which are related to the twisted elliptic genera. We study the modularity properties of these secondary characteristic forms and relations among them. We also get some twisted anomaly cancellation formulas on some odd dimensional manifolds.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory