7 papers
Remarks on -Seiberg-Witten equation over -manifolds
Gorapada Bera
We prove that the -Seiberg-Witten equation over a closed hyperbolic -manifold always admits a canonical irreducible solution induced by the hy…
Dirac operators twisted by ramified Euclidean line bundles
Gorapada Bera, Thomas Walpuski
This article is concerned with the analysis of Dirac operators twisted by ramified Euclidean line bundles -motivated by their relation with harmonic $\mathbf{…
Associative submanifolds in twisted connected sum -manifolds
Gorapada Bera
We introduce a method to construct closed rigid associative submanifolds in twisted connected sum -manifolds. More precisely, we prove a gluing theorem of asymptotically cylin…
Deformations and desingularizations of conically singular associative submanifolds
Gorapada Bera
The proposals of Joyce [Joy18], and Doan and Walpuski [DW19] on counting closed associative submanifolds of -manifolds depend on various conjectural transitions. This article…
Uniqueness in the local Donaldson-Scaduto conjecture
Gorapada Bera, Saman Habibi Esfahani, Yang Li
The local Donaldson-Scaduto conjecture predicts the existence and uniqueness of a special Lagrangian pair of pants with three asymptotically cylindrical ends in the Calabi-Yau 3-fo…
Deformations of asymptotically cylindrical associative submanifolds
Gorapada Bera
This article develops the deformation theory of asymptotically cylindrical (ACyl) associative submanifolds in ACyl -manifolds, laying the foundation for the gluing of ACyl ass…