Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01ht24wj46g
DC FieldValueLanguage
dc.contributor.otherMathematics Departmenten_US
dc.date.accessioned2012-11-15T23:51:26Z-
dc.date.available2012-11-15T23:51:26Z-
dc.date.issued2012en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/dsp01ht24wj46g-
dc.description.abstractGiven a symplectic manifold $(X,\omega)$, an almost complex structure $J$, and an antisymplectic involution $\phi$, we study genus zero real $J$-holomorphic curves in $X$. There are two types of such curves, those that can be divided into two $J$-holomorphic discs and those that cannot. Moduli spaces of $J$-holomorphic discs are more studied in the literature; in this case, we develop and use some degeneration techniques to add to the previous results and get a better understanding of these moduli spaces. We also study the second case, for which the orientation problem is different and define (and calculate) some invariants using these moduli spaces. As shown in this thesis, these two cases are tied together and often need to be combined to get a fully well-defined theory.en_US
dc.language.isoenen_US
dc.publisherPrinceton, NJ : Princeton Universityen_US
dc.relation.isformatofThe Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the <a href=http://catalog.princeton.edu> library's main catalog </a>en_US
dc.subjectGromov-Witten theoryen_US
dc.subjectModuli spaceen_US
dc.subjectReal curvesen_US
dc.subjectSymplectic cuten_US
dc.subjectSymplectic geometryen_US
dc.subject.classificationMathematicsen_US
dc.titleON MODULI SPACES OF REAL CURVES IN SYMPLECTIC MANIFOLDSen_US