Mamta Balodi

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20182025

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math.RA2020

Cyclic cohomology of entwining structures

Mamta Balodi, Abhishek Banerjee

In this paper, we introduce and study a cyclic cohomology theory $H_{λ}^{∙} (A, C, ψ)$ for an entwining structure $(A, C, ψ)$ over a field $k$ . We then provide a complete description…

math.RA2019

BV-operators and secondary Hochschild complex

Mamta Balodi, Abhishek Banerjee, Anita Naolekar

We introduce the notion of a BV-operator $Δ = {Δ^{n} : V^{n} ⟶ V^{n - 1}}_{n \geq 0}$ on a homotopy $G$ -algebra $V^{∙}$ such that the Gerstenhaber bracket on $H (V^{∙})$ …

math.RA2019

Cohomology of modules over $H$ -categories and co- $H$ -categories

Mamta Balodi, Abhishek Banerjee, Samarpita Ray

Let $H$ be a Hopf algebra. We consider $H$ -equivariant modules over a Hopf module category $C$ as modules over the smash extension $C # H$ . We construct Grothendi…

Cyclic cohomology of entwining structures

BV-operators and secondary Hochschild complex

Cohomology of modules over H-categories and co-H-categories

Cohomology of modules over $H$ -categories and co- $H$ -categories