Quantum Sheaf Cohomology on surfaces of general type I: construction of stable omalous bundles

Abstract

Quantum sheaf cohomology is a deformation of the cohomology ring of a sheaf. In recent years, this subject had an impetuous development in connection with the $(0;2)$ non-linear sigma model from super-strings theory. The basic piece in this area is a so-called omalous bundle on the variety we start with. After a short overview of the subject, we construct stable omalous bundles on some classes of surfaces of general type.

8 pages, Talk presented at ICTAMI 2015

References in corpus (4)

• Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
• Monad constructions of omalous bundles
• On large families of bundles over algebraic surfaces
• Prioritary omalous bundles on Hirzebruch surfaces

Cited by in corpus (1)

• Quantum sheaf cohomology on Grassmannians