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math.DG2026
Compact multi-monopole moduli spaces on Kähler surfaces
Ollie Thakar
We consider the multi-spinor Seiberg-Witten equations on a 4-manifold in a general setting, where we allow the auxiliary bundle to be non-trivial. We show that when the metric is K…
math.DG2026
Entropy-Minimizing Diffeomorphisms on a -Manifold
Ollie Thakar
In this paper, we construct infinitely many diffeomorphisms of a Joyce manifold which achieve Yomdin's homological lower bound for topological entropy, imitating a recent const…
math.DG2025
The moduli space of multi-monopoles on a Riemann surface
Ollie Thakar
We study the moduli space of solutions to the Seiberg-Witten equations with spinors on a compact Riemann surface. These moduli spaces arise in a program to define a new enumera…