50 citations · 157 across the 21 of their papers we have counts for
21 papers
Moduli spaces of geometric functorial field theories
Jacek Kenig, Dmitri Pavlov
We develop tools to compute moduli spaces of geometric functorial field theories as mapping spaces of equivariant simplicial presheaves. Given a d-dimensional geometric structure F…
Higher categories of bordisms with geometric structures
Daniel Grady, Dmitri Pavlov
We introduce a system of axioms that uniquely defines an (infinity,d)-category of bordisms equipped with geometric data. The underlying manifolds of these bordisms may be smooth, c…
The enriched Thomason model structure on 2-categories
Dmitri Pavlov
We prove that categories enriched in the Thomason model structure admit a model structure that is Quillen equivalent to the Bergner model structure on simplicial categories, provid…
Numerable open covers and representability of topological stacks
Dmitri Pavlov
We prove that the class of numerable open covers of topological spaces is the smallest class that contains covers with pairwise disjoint elements and numerable covers with two elem…
The geometric cobordism hypothesis
Daniel Grady, Dmitri Pavlov
We prove a generalization of the cobordism hypothesis of Baez--Dolan and Hopkins--Lurie for bordisms with arbitrary geometric structures, such as Riemannian metrics, complex and sy…
Combinatorial model categories are equivalent to presentable quasicategories
Dmitri Pavlov
We establish a Dwyer-Kan equivalence of relative categories of combinatorial model categories, presentable quasicategories, and other models for locally presentable (infinity,1)-ca…