Quantum Serre duality for quasimaps
| dc.contributor.author | Heath, Levi Nathaniel, author | |
| dc.contributor.author | Shoemaker, Mark, advisor | |
| dc.contributor.author | Cavalieri, Renzo, committee member | |
| dc.contributor.author | Gillespie, Maria, committee member | |
| dc.contributor.author | Gelfand, Martin, committee member | |
| dc.date.accessioned | 2022-05-30T10:22:30Z | |
| dc.date.available | 2022-05-30T10:22:30Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Let X be a smooth variety or orbifold and let Z ⊆ X be a complete intersection defined by a section of a vector bundle E → X. Originally proposed by Givental, quantum Serre duality refers to a precise relationship between the Gromov–Witten invariants of Z and those of the dual vector bundle E∨. In this paper we prove a quantum Serre duality statement for quasimap invariants. In shifting focus to quasimaps, we obtain a comparison which is simpler and which also holds for nonconvex complete intersections. By combining our results with the wall-crossing formula developed by Zhou, we recover a quantum Serre duality statement in Gromov-Witten theory without assuming convexity. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Heath_colostate_0053A_17055.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/235280 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2020- | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.title | Quantum Serre duality for quasimaps | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
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