Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771929 | Journal of Algebra | 2017 | 42 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jirui Guo, Zhentao Lu, Eric Sharpe,