Work

Odd mapping cone Chern character

Year: 2026

Type: preprint

Abstract: Our previous work established the mapping cone Chern character on the even-degree side, using the powers of the mapping cone curvature associated with the given mapping cone connection. In this paper, we carry out the odd-degree version using a trivial mapping cone connection and an automorphism on a trivial complex vector bundle. This version is based on the related odd-degree transgression.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.20300

Author: Zhuang, Hao

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Centre de Recherches Mathématiques

OpenAlex ID: W7222201952

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