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dc.contributor.authorGuy, Gary Michael
dc.date.accessioned2014-03-04T02:31:57Z
dc.date.available2014-03-04T02:31:57Z
dc.date.issued2007-05
dc.identifier.otherguy_gary_m_200705_phd
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/guy_gary_m_200705_phd
dc.identifier.urihttp://hdl.handle.net/10724/23852
dc.description.abstractWe study the intersection theory on the moduli spaces of maps of n-pointed curves f : (C, s1, . . . sn) → V which are stable with respect to the weight data (a1, . . . , an), 0 ≤ ai ≤ 1. After describing the structure of these moduli spaces, we define an analog of the gravitational descendants from Gromov-Witten theory using them. We state and prove the equality of some of these descendants to previous numerical invariants of Miller, Morita and Mumford as well as those of Graber, Kock, and Pandharipande. We then prove a formula describing the way each descendant changes as we vary the weights. Finally, we state and prove several nice relationships among these descendants including generalizations of the string, dilaton, and divisor equation.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectGromov-Witten
dc.subjectmoduli
dc.subjectstable map
dc.subjectstable curve
dc.subjectgravitational descendant
dc.titleModuli of weighted stable maps and their gravitational descendants
dc.typeDissertation
dc.description.degreePhD
dc.description.departmentMathematics
dc.description.majorMathematics
dc.description.advisorValery Alexeev
dc.description.committeeValery Alexeev
dc.description.committeeDaniel K. Nakano
dc.description.committeeGordana Matic
dc.description.committeeElham Izadi
dc.description.committeeWilliam Graham


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