Thomas Walpuski

activity

20102026

most citedA compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three

29 citations · 264 across the 24 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DG2017★ 13 cited

On counting associative submanifolds and Seiberg-Witten monopoles

Aleksander Doan, Thomas Walpuski

Building on ideas from [DT98; DS11; Wal17; Hay17], we outline a proposal for constructing Floer homology groups associated with a G2-manifold. These groups are generated by associa…

math.DG2017★ 5 cited

On the existence of harmonic $Z_{2}$ spinors

Aleksander Doan, Thomas Walpuski

We prove the existence of singular harmonic $Z_{2}$ spinors on $3$ -manifolds with $b_{1} > 1$ . The proof relies on a wall-crossing formula for solutions to the Seiberg-Witten equ…

math.DG2017★ 10 cited

Deformation theory of the blown-up Seiberg-Witten equation in dimension three

Aleksander Doan, Thomas Walpuski

Associated with every quaternionic representation of a compact, connected Lie group there is a Seiberg-Witten equation in dimension three. The moduli spaces of solutions to these e…

On counting associative submanifolds and Seiberg-Witten monopoles

On the existence of harmonic Z2​ spinors

Deformation theory of the blown-up Seiberg-Witten equation in dimension three

On the existence of harmonic $Z_{2}$ spinors