Ollie Thakar

activity

20222026

collaborators

5 papers

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 $G_{2}$ -Manifold

Ollie Thakar

In this paper, we construct infinitely many diffeomorphisms of a Joyce manifold $M$ 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 $N$ spinors on a compact Riemann surface. These moduli spaces arise in a program to define a new enumera…

math.GT2023

Left-orderable surgeries on the knot $6_{2}$ via hyperbolic $P S L (2, R)$ -representations

Ollie Thakar

We introduce a new method of detecting when the fundamental group of a Dehn surgery on a knot admits a left-ordering, a method which is particularly useful for 2-bridge knots. As a…

math.GT2022

Combinatorial Proofs of Properties of Double-Point Enhanced Grid Homology

Ollie Thakar

We provide a purely combinatorial proof of a skein exact sequence obeyed by double-point enhanced grid homology. We also extend the theory to coefficients over $Z,$ and di…

Compact multi-monopole moduli spaces on Kähler surfaces

Entropy-Minimizing Diffeomorphisms on a G2​-Manifold

The moduli space of multi-monopoles on a Riemann surface

Left-orderable surgeries on the knot 62​ via hyperbolic PSL(2,R)-representations

Combinatorial Proofs of Properties of Double-Point Enhanced Grid Homology

Entropy-Minimizing Diffeomorphisms on a $G_{2}$ -Manifold

Left-orderable surgeries on the knot $6_{2}$ via hyperbolic $P S L (2, R)$ -representations