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

2015/09/16 by Cristian Anghel, Anghel, Cristian
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AG

paper · pdf · doi:10.48550/arxiv.1509.05031

8 pages, Talk presented at ICTAMI 2015

arxiv created 2015/09/16 · openalex publication_date 2015/09/16 · arxiv updated 2015/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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