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math.CT2024
Lax Additivity
Merlin Christ, Tobias Dyckerhoff, Tashi Walde
We introduce notions of lax semiadditive and lax additive -categories, categorifying the classical notions of semiadditive and additive 1-categories. To establish a wel…
math.CT2023
N-spherical functors and categorification of Euler's continuants
Tobias Dyckerhoff, Mikhail Kapranov, Vadim Schechtman
Euler's continuants are universal polynomials expressing the numerator and denominator of a finite continued fraction whose entries are independent variables. We introduce their ca…