Transfers of strongly homotopy structures as Grothendieck bifibrations

Abstract: It is well-known that strongly homotopy structures can be transferred over chain homotopy equivalences. Using the uniqueness results of Markl & Rogers we show that the transfers could be organized into a discrete Grothendieck bifibration. An immediate aplication is e.g. functoriality up to isotopy.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar