Pradip Kumar

activity

20232026

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3 papers · 1 filter

math.DG2026

Critical-point-free energy for fractional-Toledo representations

Rivu Bardhan, Anu Dhochak, Pradip Kumar

Let $S_{g}$ be a closed oriented surface of genus $g \geq 2$ . For a reductive representation $ρ:π_1(S_g)\to\PU(2,1)$, let $E_{ρ}$ be the energy function on Teichmüller space associated to…

math.AG2026

Spectral and Logarithmic Atiyah Classes for Higgs Bundles

Pradip Kumar, Sai Rasmi Ranjan Mohanty, Savita Rani +1

For a regular semisimple Higgs bundle with a smooth spectral curve, we prove that, over the \etale\ locus, the Atiyah class of the underlying bundle is induced by the Atiyah class…

math.GT2026

Two characters on one punctured Riemann surface

Pradip Kumar

We develop an abstract framework for coupled period--realization of meromorphic $1$ --forms on punctured Riemann surfaces. A configuration datum $C$ gives the combinatorics and dete…