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http://hdl.handle.net/11375/30337| Title: | Connections Between Type A Quiver Loci and Positroid Varieties in the Grassmannian |
| Authors: | Kierkosz, Illya |
| Advisor: | Rajchgot, Jenna |
| Department: | Mathematics |
| Keywords: | Combinatorics, Algebraic Geometry, Positroid Varieties, Type A Quiver Loci |
| Publication Date: | 2024 |
| Abstract: | In [KR15], it was shown that each type A quiver locus is closely related to a Schubert variety in a partial flag variety. In this thesis, we adapt the construction to show that type A quiver loci are also closely related to positroid varieties in Grassmannians. An important idea in producing this construction is a new combinatorial identification between quiver rank arrays and bounded affine permutations. |
| URI: | http://hdl.handle.net/11375/30337 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Kierkosz_Illya_K_2024August_Msc.pdf | 458.25 kB | Adobe PDF | View/Open |
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