Mamta Balodi

activity

20182022

collaborators

9 papers

math.CT2022

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 $T ⟶ S$ of monads over a category $C$ satisfies the PBW-property if and only if it makes $S$ int…

math.CT2021

Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology

Mamta Balodi, Abhishek Banerjee

We replace a ring with a small $C$ -linear category $C$ , seen as a ring with several objects in the sense of Mitchell. We introduce Fredholm modules over this cate…

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.CT2019

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 $C$ -linear categ…

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.CT2019

Cycles over DGH-semicategories and pairings in categorical Hopf-cyclic cohomology

Mamta Balodi, Abhishek Banerjee

Let $H$ be a Hopf algebra and let $D_{H}$ be a Hopf-module category. We describe the cocycles and coboundaries for the Hopf cyclic cohomology of $D_{H}$ , which corres…