6 papers · 1 filter
Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients
Mamta Balodi, Abhishek Banerjee, Surjeet Kour
We obtain Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients in half-braidings for a monoidal functor. Our approach uses a formal analogy between half-brai…
Adjunctions between Eilenberg-Moore categories and a PBW-type theorem
Mamta Balodi, Abhishek Banerjee, Anita Naolekar
Recently, Dotsenko and Tamaroff have shown that a morphism of of monads over a category satisfies the PBW-property if and only if it makes int…
Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology
Mamta Balodi, Abhishek Banerjee
We replace a ring with a small -linear category , seen as a ring with several objects in the sense of Mitchell. We introduce Fredholm modules over this cate…
Categorified Fredholm Modules and Chern Characters
Mamta Balodi, Abhishek Banerjee
In this paper, we continue our program of systematic categorification of the Noncommutative Differential Geometry of Connes. We replace a ring with a small -linear categ…
Cycles over DGH-semicategories and pairings in categorical Hopf-cyclic cohomology
Mamta Balodi, Abhishek Banerjee
Let be a Hopf algebra and let be a Hopf-module category. We describe the cocycles and coboundaries for the Hopf cyclic cohomology of , which corres…
Entwined modules over linear categories and Galois extensions
Mamta Balodi, Abhishek Banerjee, Samarpita Ray
In this paper, we study modules over quotient spaces of certain categorified fiber bundles. These are understood as modules over entwining structures involving a small -linear c…