3 papers
math.QA2025
Foams, iterated wreath products, field extensions and Sylvester sums
Mee Seong Im, Mikhail Khovanov
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 o…
math.GT2024
Foam cobordism and the Sah-Arnoux-Fathi invariant
Mee Seong Im, Mikhail Khovanov
This is the first in a series of papers where scissor congruence and K-theoretical invariants are related to cobordism groups of foams in various dimensions. A model example is pro…
math.RT2024
Monoidal categories, representation gap and cryptography
Mikhail Khovanov, Maithreya Sitaraman, Daniel Tubbenhauer
The linear decomposition attack provides a serious obstacle to direct applications of noncommutative groups and monoids (or semigroups) in cryptography. To overcome this issue we p…