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This paper explains how any nondeterministic automaton for a regular language L gives rise
to a one-dimensional oriented topological quantum field theory (TQFT) with inner endpoints …

We construct a family of unoriented 2-dimensional cobordism theories parametrized by
certain triples of sequences. We also prove that some specializations of these sequences …

In this paper we give a general construction of symmetric monoidal categories that
generalizes Deligne's interpolated categories, the categories introduced by Knop, and the …

We consider recognizable evaluations for a suitable category of oriented two-dimensional
cobordisms with corners between finite unions of intervals. We call such cobordisms thin flat …

The paper explains the connection between topological theories for one-manifolds with
defects and values in the Boolean semiring and automata and their generalizations. Finite …

Certain foams and relations on them are introduced to interpret functors and natural
transformations in categories of representations of iterated wreath products of cyclic groups …

The paper studies the Karoubi envelope of a one-dimensional topological theory with
defects and inner endpoints, defined over a field. It turns out that the Karoubi envelope is …

We find a single two-parameter skein relation on trivalent graphs, the quantum exceptional
relation, that specializes to a skein relation associated to each exceptional Lie algebra (in …

A pair of biadjoint functors between two categories produces a collection of elements in the
centers of these categories, one for each isotopy class of nested circles in the plane. If the …