P. Kirk

activity

20072026

most citedA symplectic manifold homeomorphic but not diffeomorphic to CP^2 # 3(-CP^2)

8 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2026

A differential topology proof that the $S U (2)$ character variety of the genus two surface is homeomorphic to $C P^{3}$

Christopher M. Herald, Paul Kirk

We provide a proof that the $S U (2)$ character variety of a genus two surface, $χ (F_{2})$ , is a closed compact manifold, and a proof of the Narasimhan-Ramanan theorem that $χ (F_{2})$ is…

math.GT2024

An endomorphism on immersed curves in the pillowcase

Christopher M. Herald, Paul Kirk

We examine the holonomy-perturbed traceless SU(2) character variety of the trivial four-stranded tangle {p_1,p_2,p_3,p_4} X [0,1] in S^2 X [0,1] equipped with a strong marking, eit…

math.GT2007★ 8 cited

A symplectic manifold homeomorphic but not diffeomorphic to CP^2 # 3(-CP^2)

Scott Baldridge, Paul Kirk

In this paper we construct a minimal symplectic 4-manifold and prove it is homeomorphic but not diffeomorphic to CP^2 # 3(-CP^2)

A differential topology proof that the SU(2) character variety of the genus two surface is homeomorphic to CP3

An endomorphism on immersed curves in the pillowcase

A symplectic manifold homeomorphic but not diffeomorphic to CP^2 # 3(-CP^2)

A differential topology proof that the $S U (2)$ character variety of the genus two surface is homeomorphic to $C P^{3}$