A model structure for locally constant factorization algebras
arXiv:2107.14174
Abstract
Several model structures related to the homotopy theory of locally constant factorization algebras are constructed. This answers a question raised by D. Calaque in his habilitation thesis. Our methods also solve a problem related to cosheafification and factorization algebras identified by O. Gwilliam - K. Rejzner in the locally constant case.
v4: Major revision. Accepted version in Algebraic & Geometric Topology. v3: A problem related to left properness of operadic algebras has been fixed. Some typos corrected and minor changes in the exposition. Comments are welcome!