9 papers
Pivotal Brauer-Picard groupoids and graded extensions
Agustina Czenky, David Jaklitsch, Dmitri Nikshych +4
We develop pivotal and spherical versions of graded extension theory. We define the corresponding analogues of Brauer-Picard -categorical groups and realize them as fixed points…
NIM-representations of Tambara-Yamagami generalizations
Agustina Czenky, Emily McGovern, Melody Molander +2
We compute and classify the irreducible non-negative integer matrix (NIM-)representations of two proposed generalizations of the Tambara-Yamagami fusion ring, as studied by Jordan-…
Diagramatics for cyclic pointed fusion categories
Agustina Czenky
We give a parametrization of cyclic pointed categories associated to the cyclic group of order in terms of -th roots of unity. We also provide a diagramatic description of t…
On extended Frobenius structures
Agustina Czenky, Jacob Kesten, Abiel Quinonez +1
A classical result in quantum topology is that oriented 2-dimensional topological quantum field theories (2-TQFTs) are fully classified by commutative Frobenius algebras. In 2006,…
Cochain valued TQFTs from nonsemisimple modular tensor categories
Agustina Czenky, Cris Negron
We show that a vector space valued TQFT constructed in work of De Renzi et al. [DGGPR23] extends naturally to a topological field theory which takes values in the symmetric monoida…
Egyptian fractions for few primes
Agustina Czenky, Emily McGovern, Julia Plavnik +2
We study solutions to the Egyptian fractions equation with the prime factors of the denominators constrained to lie in a fixed set of primes. We evaluate the effectiveness of the g…