English

Higher dimensional operads

Quantum Algebra 2010-12-16 v2 Category Theory

Abstract

The theory of operads (May, cyclic, modular, PROPs, etc) is extended to include higher dimensional phenomena, i.e. operations between operations, mimicking the algebraic structure on varieties of arbitrary dimensions, having marked subvarieties of arbitrary codimension.

Keywords

Cite

@article{arxiv.0909.2534,
  title  = {Higher dimensional operads},
  author = {Dennis Borisov},
  journal= {arXiv preprint arXiv:0909.2534},
  year   = {2010}
}
R2 v1 2026-06-21T13:46:06.587Z