6 citations · 13 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
BV-operators and secondary Hochschild complex
Mamta Balodi, Abhishek Banerjee, Anita Naolekar
We introduce the notion of a BV-operator on a homotopy -algebra such that the Gerstenhaber bracket on …
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…
Cohomology of modules over -categories and co--categories
Mamta Balodi, Abhishek Banerjee, Samarpita Ray
Let be a Hopf algebra. We consider -equivariant modules over a Hopf module category as modules over the smash extension . We construct Grothendi…