25 citations · 102 across the 25 of their papers we have counts for
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Symplectic structure on the character varieties of Sasakian threefolds
Indranil Biswas, Ambar N. Sengupta
Take a compact Sasakian threefold and consider the associated irreducible -character variety ${\mathcal R} := \text{Hom}(π_1(M, x_0), \text{SL}(r, {\m…
Pushforwards and Gauge Transformations for Categorical Connections
Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta
We construct and study pushforwards of categorical connections on categorical principal bundles. Applying this construction to the case of decorated path spaces in principal bundle…
Twisted-Product Categorical Bundles
Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta
Categorical bundles provide a natural framework for gauge theories involving multiple gauge groups. Unlike the case of traditional bundles there are distinct notions of triviality,…
Connections on decorated path space bundles
Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta
For a principal bundle equipped with a connection , we study an infinite dimensional bundle over the space of paths on , wi…