Year: 2024
Type: article
Abstract: We show that the string coproduct is not homotopy invariant.More precisely, we show that the (reduced) coproducts are different on L.1; 7/ and L.2; 7/.Moreover, the coproduct on L.k; 7/ can be expressed in terms of the Reidemeister torsion and hence transforms with respect to the Whitehead torsion of a homotopy equivalence.The string coproduct can thereby be used to compute the image of the Whitehead torsion under the Dennis trace map.
Source: Geometry & Topology
Author: Florian Naef
Institutions: University of Copenhagen, Trinity College Dublin
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4405757517