19 citations · 41 across the 10 of their papers we have counts for
11 papers
Super Gromov-Witten Invariants via torus localization
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
In this article we propose a definition of super Gromov-Witten invariants by postulating a torus localization property for the odd directions of the moduli spaces of super stable m…
Torus Actions on Moduli Spaces of Super Stable Maps of Genus Zero
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
We construct smooth -actions on the moduli spaces of super -holomorphic curves as well as super stable curves and super stable maps of genus zero and fixed tree ty…
Moduli spaces of SUSY curves and their operads
Enno Keßler, Yuri I. Manin, Yingying Wu
This article generalizes the operad of moduli spaces of curves to SUSY curves. SUSY curves are algebraic curves with additional supersymmetric or supergeometric structure. Here, we…
Super quantum cohomology I: Super stable maps of genus zero with Neveu-Schwarz punctures
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
In this article we define stable supercurves and super stable maps of genus zero via labeled trees. We prove that the moduli space of stable supercurves and super stable maps of fi…
Super -holomorphic Curves: Construction of the Moduli Space
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
Let be a super Riemann surface with holomorphic distribution and a symplectic manifold with compatible almost complex structure . We call a map $Φ\colon M\…
Geometric analysis of the Yang-Mills-Higgs-Dirac model
Jürgen Jost, Enno Keßler, Ruijun Wu +1
The harmonic sections of the Kaluza-Klein model can be seen as a variant of harmonic maps with additional gauge symmetry. Geometrically, they are realized as sections of a fiber bu…
From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory. At the interface of theoretical physics, Riemannian geometry and nonlinear analysis
Jürgen Jost, Enno Keßler, Jürgen Tolksdorf +2
Harmonic maps from Riemann surfaces arise from a conformally invariant variational problem. Therefore, on one hand, they are intimately connected with moduli spaces of Riemann surf…
Symmetries and conservation laws of a nonlinear sigma model with gravitino
Jürgen Jost, Enno Keßler, Jürgen Tolksdorf +2
We show that the action functional of the nonlinear sigma model with gravitino considered in a previous article [18] is invariant under rescaled conformal transformations, super We…
The functional of super Riemann surfaces -- a "semi-classical" survey
Enno Keßler, Jürgen Tolksdorf
This article provides a brief discussion of the functional of super Riemann surfaces from the point of view of classical (i.e. not "super-) differential geometry. The discussion is…
Super Riemann Surfaces and the Super Conformal Action Functional
Enno Keßler
Riemann surfaces are two-dimensional manifolds with a conformal class of metrics. It is well known that the harmonic action functional and harmonic maps are tools to study the modu…
Super Riemann surfaces, metrics, and gravitinos
Jürgen Jost, Enno Keßler, Jürgen Tolksdorf
The underlying even manifold of a super Riemann surface is a Riemann surface with a spinor valued differential form called gravitino. Consequently infinitesimal deformations of sup…