English

Tensor products of representations up to homotopy

Algebraic Topology 2010-09-30 v1

Abstract

We study the construction of tensor products of representations up to homotopy, which are the A-infinity version of ordinary representations. We provide formulas for the construction of tensor products of representations up to homotopy and of morphisms between them, and show that these formulas give the homotopy category a monoidal structure which is uniquely defined up to equivalence.

Keywords

Cite

@article{arxiv.1009.5852,
  title  = {Tensor products of representations up to homotopy},
  author = {Camilo Arias Abad and Marius Crainic and Benoit Dherin},
  journal= {arXiv preprint arXiv:1009.5852},
  year   = {2010}
}

Comments

42 pages, 2 figures