A Mathematical Theory of Quantum Sheaf Cohomology

Details A Mathematical Theory of Quantum Sheaf Cohomology A Mathematical Theory of Quantum Sheaf Cohomology

2011-10-17

arxiv.org/abs/1110.3751v2

Mathematics

Algebraic Geometry

Scientific paper

The purpose of this paper is to present a mathematical theory of the half-twisted $(0,2)$ gauged linear sigma model and its correlation functions that agrees with and extends results from physics. The theory is associated to a smooth projective toric variety $X$ and a deformation $\sheaf E$ of its tangent bundle $T_X$. It gives a quantum deformation of the cohomology ring of the exterior algebra of $\sheaf E^*$. We prove that in the general case, the correlation functions are independent of `nonlinear' deformations. We derive quantum sheaf cohomology relations that correctly specialize to the ordinary quantum cohomology relations described by Batyrev in the special case $\sheaf E = T_X$.

Affiliated with

Also associated with

No associations

Rating

A Mathematical Theory of Quantum Sheaf Cohomology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Mathematical Theory of Quantum Sheaf Cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Mathematical Theory of Quantum Sheaf Cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319056