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Odd mapping cone Chern character
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.
Related
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BibTeX
@misc{zhuang2026mapping,
title = {{Odd mapping cone Chern character}},
author = {Hao Zhuang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20300},
eprint = {2610.20300},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20300},
}
RIS
TY - UNPB
TI - Odd mapping cone Chern character
AU - Hao Zhuang
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20300
UR - https://arxiv.org/abs/2610.20300
AB - 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.
ER -