The String Topology Loop Coproduct and Cohomology Operations
Algebraic Topology
2007-12-04 v1
Abstract
This note explores the interaction between cohomology operations in a generalized cohomology theory and a string topology loop coproduct dual to the Chas--Sullivan loop product. More precisely, we ask for a description for the failure of a given operation to commute with the loop coproduct, and will obtain a satisfactory answer in the case where the operation preserves both sums and products. Examples of such operations include the total Steenrod square in ordinary mod 2 cohomology and the Adams operations in K-theory.
Keywords
Cite
@article{arxiv.0712.0212,
title = {The String Topology Loop Coproduct and Cohomology Operations},
author = {Anssi Lahtinen},
journal= {arXiv preprint arXiv:0712.0212},
year = {2007}
}
Comments
6 pages; submitted to the proceedings of the M.M.Postnikov memorial conference