English

Bivariant operadic categories

Category Theory 2024-03-27 v1 Algebraic Topology

Abstract

We develop a self-dual, bivariant extension of the concept of an operadic category, its associated operads and their algebras. Our new theory covers, besides all classical subjects, also generalized traces and bivariant versions of Kapranov's charades. It is, moreover, combinatorially rich and aesthetically pleasing.

Keywords

Cite

@article{arxiv.2402.12963,
  title  = {Bivariant operadic categories},
  author = {Martin Markl},
  journal= {arXiv preprint arXiv:2402.12963},
  year   = {2024}
}

Comments

34 pages

R2 v1 2026-06-28T14:54:25.648Z