11 citations · 13 across the 5 of their papers we have counts for
6 papers
Stability conditions and canonical metrics
John Benjamin McCarthy
In this thesis we study the principle that extremal objects in differential geometry correspond to stable objects in algebraic geometry. In our introduction we survey the most famo…
Canonical metrics on holomorphic fibre bundles
John Benjamin McCarthy
In this article we completely describe the existence of canonical metrics, known as optimal symplectic connections, on isotrivial Kähler fibrations. In this setting an optimal symp…
-critical connections and Bridgeland stability conditions
Ruadhaí Dervan, John Benjamin McCarthy, Lars Martin Sektnan
We associate geometric partial differential equations on holomorphic vector bundles to Bridgeland stability conditions. We call solutions to these equations -critical connection…
Extensions of bounded holomorphic functions on the tridisk
Lukasz Kosinski, John McCarthy
We study sets in the tridisc that are relatively polynomially convex and have the polynomial extension property. If is one-dimensional, and is either algebraic, or has poly…
Norm preserving extensions of bounded holomorphic functions
Lukasz Kosinski, John McCarthy
A relatively polynomially convex subset of a domain has the extension property if for every polynomial there is a bounded holomorphic function on that agrees wi…
Topological Quantum Field Theory and Seiberg-Witten Monopoles
R. B. Zhang, B. L. Wang, A. L. Carey +1
A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topological field theory leads to a…