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

/ Authors

/ 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.

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

/ Authors

B. Hou, Hongzhi Liu

/ 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.