Classical sheaf cohomology rings on Grassmannians
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...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 September 2017
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| In: |
Journal of algebra
Year: 2017, Volume: 486, Pages: 246-287 |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2017.04.026 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.jalgebra.2017.04.026 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0021869317302922 
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| Author Notes: | Jirui Guo, Zhentao Lu, Eric Sharpe |
| Summary: | 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. |
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| Item Description: | Available online 18 May 2017 Gesehen am 20.03.208 |
| Physical Description: | Online Resource |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2017.04.026 |