6 citations · 13 across the 11 of their papers we have counts for
13 papers
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…
Comodule theories in Grothendieck categories and relative Hopf objects
Mamta Balodi, Abhishek Banerjee, Surjeet Kour
We develop the categorical algebra of the noncommutative base change of a comodule category by means of a Grothendieck category . We describe when the resulting catego…
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…
Categories of modules, comodules and contramodules over representations
Mamta Balodi, Abhishek Banerjee, Samarpita Ray
We study and relate categories of modules, comodules and contramodules over a representation of a small category taking values in (co)algebras, in a manner similar to modules over…
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…
Cyclic cohomology of entwining structures
Mamta Balodi, Abhishek Banerjee
In this paper, we introduce and study a cyclic cohomology theory for an entwining structure over a field . We then provide a complete description…
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…
Morita invariance of equivariant and Hopf-cyclic cohomology of module algebras over Hopf algebroids
Mamta Balodi
We investigate the equivariant and Hopf-cyclic cohomology of module algebras over Hopf algebroids and derive their Morita invariance. For this, we use the tools developed by McCart…
On Boolean intervals of finite groups
Mamta Balodi, Sebastien Palcoux
We prove a dual version of Øystein Ore's theorem on distributive intervals in the subgroup lattice of finite groups, having a nonzero dual Euler totient . For any Boolean gr…