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Intersections of ψ classes on Hassett spaces of rational curves

dc.contributor.authorSharma, Nand, author
dc.contributor.authorCavalieri, Renzo, advisor
dc.contributor.authorPeterson, Chris, committee member
dc.contributor.authorAchter, Jeff, committee member
dc.contributor.authorPrasad, Ashok, committee member
dc.date.accessioned2018-09-10T20:04:28Z
dc.date.available2018-09-10T20:04:28Z
dc.date.issued2018
dc.description.abstractHassett spaces are moduli spaces of weighted stable pointed curves. In this work, we consider such spaces of curves of genus 0 with weights all 1/q , q being a positive integer greater than or equal to 2. These spaces are interesting as they have different universal families and different intersection theory when compared with classical moduli spaces of pointed stable rational curves. We develop closed formulas for intersections of ψ-classes on such spaces. In our main result, we encode the formula for top intersections in a generating function obtained by applying an exponential differential operator to the Witten-potential.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.identifierSharma_colostate_0053A_14902.pdf
dc.identifier.urihttps://hdl.handle.net/10217/191317
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019
dc.rightsCopyright 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.titleIntersections of ψ classes on Hassett spaces of rational curves
dc.typeText
dcterms.rights.dplaThis 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.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)

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