activity
20012026
most citedGeometric quantization of the moduli space of the Self-duality equations on a Riemann surface

7 citations · 44 across the 33 of their papers we have counts for

collaborators

34 papers

math.DG2026

Decompositions of ZMC Graphs and Euler-Ramanujan type identities

Priyank Vasu, Sam K Mathew, Rahul Kumar Singh +1

In this paper, we study finite and infinite decomposition formulas for zero mean curvature (ZMC) graphs in Euclidean, Lorentz--Minkowski, and isotropic (3)-spaces. We first derive…

math.DG2024

CMC surfaces of revolution, Elliptic curves, Weierstrass- functions, and Algebraicity

Rukmini Dey, Anantadulal Paul, Rahul Kumar Singh

This paper establishes an interesting connection between the family of CMC surfaces of revolution in and some specific families of elliptic curves. As a consequence…

math-ph2024

RKHS, Berezin and Odzijewicz-type quantizations on arbitrary compact smooth manifold

Rukmini Dey

In this article we define Berezin-type and Odzijewicz-type quantizations on compact smooth manifolds. The method is we embed the smooth manifold of real dimension into ${\mathb…

math-ph2022

Berezin-type quantization on even-dimensional compact manifolds

Rukmini Dey, Kohinoor Ghosh

In this article we show that a Berezin-type quantization can be achieved on a compact even dimensional manifold by removing a skeleton of lower dimension such that w…

math-ph2022

Quillen-type bundle and geometric prequantization on moduli space of the Seiberg-Witten equations on product of Riemann surfaces

Rukmini Dey

We show the existence of a symplectic structure on the moduli space of the Seiberg-Witten equations on where is a compact oriented Riemann surface. To prequantize t…

math.DG2021

Pullback Coherent States, Squeezed States and Quantization

Rukmini Dey, Kohinoor Ghosh

In this semi-expository paper, we define certain Rawnsley-type coherent and squeezed states on an integral Kähler manifold (after possibly removing a set of measure zero) and show…