Combinatorial structures of hyperelliptic Hodge integrals
| dc.contributor.author | Afandi, Adam, author | |
| dc.contributor.author | Cavalieri, Renzo, advisor | |
| dc.contributor.author | Shoemaker, Mark, advisor | |
| dc.contributor.author | Adams, Henry, committee member | |
| dc.contributor.author | Prasad, Ashok, committee member | |
| dc.date.accessioned | 2021-06-07T10:21:03Z | |
| dc.date.available | 2021-06-07T10:21:03Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | This dissertation explores the combinatorial structures that underlie hyperelliptic Hodge integrals. In order to compute hyperelliptic Hodge integrals, we use Atiyah-Bott (torus) localization on a stack of stable maps to [P1/Z2] = P1 × BZ2. The dissertation culminates in two results: a closed-form expression for hyperelliptic Hodge integrals with one λ-class insertion, and a structure theorem (polynomiality) for Hodge integrals with an arbitrary number of λ-class insertions. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Afandi_colostate_0053A_16481.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/232591 | |
| 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 | Combinatorial structures of hyperelliptic Hodge integrals | |
| 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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