Tensor products of representations up to homotopy

Details Tensor products of representations up to homotopy Tensor products of representations up to homotopy

2010-09-29

arxiv.org/abs/1009.5852v1

Mathematics

Algebraic Topology

42 pages, 2 figures

Scientific paper

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.

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