2021
DOI: 10.48550/arxiv.2106.12804
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C*-Algebraic higher Signature on Non-Witt space

Mingyu Liu

Abstract: Signature plays an important role in geometry and topology. In the space with singularity, Goresky and MacPherson extend the signatures to oriented pseudomanifolds with only even codimensional stratums by using generalized Poincare duality of intersection homology. After that Siegel extended the signature on Witt spaces. Higson and Xie study the C * -higher signature on Witt space. Non-Witt spaces need a refined intersection homology to hold Poincare duality. Followed by the combinatorial framework developed b… Show more

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