6 papers
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…
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{…
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…
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 hyp…
Growth of spinors in the generalized Seiberg-Witten equations on and
Gorapada Bera
The classical Seiberg-Witten equations in dimensions three and four admit a natural generalization within a unified framework known as the generalized Seiberg-Witten (GSW) equation…
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…