Classical sheaf cohomology rings on Grassmannians

• Verfasst von: Guo, Jirui [VerfasserIn]
• Verfasst von: Lu, Zhentao [VerfasserIn]
• Verfasst von: Sharpe, Eric [VerfasserIn]
• Titel: Classical sheaf cohomology rings on Grassmannians
• Verf.angabe: Jirui Guo, Zhentao Lu, Eric Sharpe
• Umfang: 42 S.
• Fussnoten: Available online 18 May 2017 ; Gesehen am 20.03.208
• Titel Quelle: Enthalten in: Journal of algebra
• Jahr Quelle: 2017
• Band/Heft Quelle: 486(2017), S. 246-287
• ISSN Quelle: 1090-266X
• DOI: doi:10.1016/j.jalgebra.2017.04.026
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1571233431

Abstract

Let the vector bundle E be a deformation of the tangent bundle over the Grassmannian G(k,n). We compute the ring structure of sheaf cohomology valued in exterior powers of E, also known as the polymology. This is the first part of a project studying the quantum sheaf cohomology of Grassmannians with deformations of the tangent bundle, a generalization of ordinary quantum cohomology rings of Grassmannians. A companion physics paper [6] describes physical aspects of the theory, including a conjecture for the quantum sheaf cohomology ring, and numerous examples.