4 papers
math.AT2021
Codimension 2 embeddings and finite localization of spaces
Pierre Vogel
In order to classify concordance classes of codimension 2 embeddings in a manifold M, we need to determine the complement of such an embedding. These complements are spaces over M…
math.KT2019
Algebraic K-theory of generalized free products and functors Nil
Pierre Vogel
In this paper, we extend Waldhausen's results on algebraic K-theory of generalized free produts in a more general setting and we give some properties of the Nil functors. As a cons…
math.AT2015
Cohn localization of finite group rings
Pierre Vogel
The purpose of this paper is to give a complete description of the Cohn localization of the augmentation map when is any finite group.
math.AT2015
Functoriality of Khovanov homology
Pierre Vogel
In this paper we prove that every Khovanov homology associated to a Frobenius algebra of rank can be modified in such a way as to produce a TQFT on oriented links, that is a mo…