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arXiv · 1908.07451

On the relative $L$-theory and the relative signature of PL manifolds with boundary

Bingzhe Hou·Hongzhi Liu
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Abstract

In this paper, we give a new description of the group structure of the relative structure group of PL manifolds with boundary, and obtain a surgery exact sequence in the category of groups. Then we focus on the relative $L$-group of PL manifolds with boundary, and map it to the $K$-theory additively.

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Bingzhe Hou, Hongzhi Liu. 2019-08-18. On the relative $L$-theory and the relative signature of PL manifolds with boundary. https://arxiv.org/abs/1908.07451

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