Back to results
Colorado State University. Libraries
Combinatorial structures of hyperelliptic Hodge integrals
Abstract
dc:description.abstractThis 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.
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (Ph.D.)
- Level thesis:degree_level
- Doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Grantor dc:publisher
- Colorado State University. Libraries
- Year dc:date.issued
- 2021
Author and committee
dc:creator, dc:contributor.*- Authors dc:creator
-
- Afandi, Adam, author
- Cavalieri, Renzo, advisor
- Shoemaker, Mark, advisor
- Adams, Henry, committee member
- Prasad, Ashok, committee member
Rights
dc:rights- Statement 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.
- Language dc:language.iso
- eng, English
Identifiers
dc:identifier.*- Identifier URI
- https://doi.org/10.25675/3.02330
- OAI identifier oai:identifier
- oai:mountainscholar.org:10217/232591