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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 -linear categ…
math.CT2019
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…
math.CT2019
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…