Classical sheaf cohomology rings on Grassmannians

Jirui Guo, Zhentao Lu, Eric Sharpe*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)246-287
Number of pages42
JournalJournal of Algebra
Volume486
DOIs
Publication statusPublished - 15 Sept 2017
Externally publishedYes

Keywords

  • Grassmannians
  • Quantum cohomology
  • Sheaf cohomology

Fingerprint

Dive into the research topics of 'Classical sheaf cohomology rings on Grassmannians'. Together they form a unique fingerprint.

Cite this