6 papers
Equivariant Interpolations in Topological Holography
Jan Troost
We revisit equivariant Gromov-Witten theories on P1 and on P1 x C2. One can introduce three equivariant parameters associated to rotations of the sphere as well as the two planes.…
The Open/Closed Gromov-Witten/Hurwitz Correspondence and Localized World Sheets for Completed Cycles
Jan Troost
We discuss the open/closed version of the Gromov-Witten/Hurwitz correspondence. The duality equates the relative Gromov-Witten invariants and the count of covers of the target spac…
Inverse Monoid Topological Quantum Field Theories and Open-Closed Grand Canonical Symmetric Orbifolds
Jan Troost
We present an open-closed topological quantum field theory for inverse monoids which generalizes the theory of principle fiber bundles with finite gauge group over Riemann surfaces…
Mixed Solutions to the Liouville Equation
Sujay K. Ashok, Jan Troost
We enlarge the set of explicit classical solutions to the Liouville equation with three singularities to the cases with mixed hyperbolic and elliptic monodromies. We analyze the la…
The String Dual to Two-dimensional Yang-Mills Theory Revisited
Lior Benizri, Jan Troost
We propose that chiral two-dimensional Yang-Mills theory on a Riemann surface is dual to a deformed stationary subsector of the Gromov-Witten theory of that Riemann surface. Firstl…
Symmetric Group Gauge Theories and Simple Gauge/String Dualities
Lior Benizri, Jan Troost
We study two-dimensional topological gauge theories with gauge group equal to the symmetric group and their string theory duals. The simplest such theory is the topological q…