English

Monoidal Properties of Franke's Exotic Equivalence

Algebraic Topology 2025-01-01 v2

Abstract

Franke's reconstruction functor R is known to provide examples of triangulated equivalences between homotopy categories of stable model categories, which are exotic in the sense that the underlying model categories are not Quillen equivalent. We show that, while not being a tensor-triangulated functor in general, R is compatible with monoidal products.

Keywords

Cite

@article{arxiv.2301.09432,
  title  = {Monoidal Properties of Franke's Exotic Equivalence},
  author = {Nikitas Nikandros and Constanze Roitzheim},
  journal= {arXiv preprint arXiv:2301.09432},
  year   = {2025}
}

Comments

39 pages, minor changes, to appear in Algebraic & Geometric Topology