Thomas Walpuski

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math.DG2026

Dirac operators twisted by ramified Euclidean line bundles

Gorapada Bera, Thomas Walpuski

This article is concerned with the analysis of Dirac operators $D$ twisted by ramified Euclidean line bundles $(Z, l)$ -motivated by their relation with harmonic $\mathbf{…

math.DG2025

Chambered invariants of real Cauchy-Riemann operators

Aleksander Doan, Thomas Walpuski

Motivated by counting pseudo-holomorphic curves in symplectic Calabi-Yau $3$ -folds, this article studies a chamber structure in the space of real Cauchy-Riemann operators on a Riem…