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Abelian branched covers and symplectic geography problem

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dc.contributor.advisor Park, Doug en_US
dc.contributor.author JOSHI, AMEY en_US
dc.date.accessioned 2022-05-11T09:58:51Z
dc.date.available 2022-05-11T09:58:51Z
dc.date.issued 2022-05
dc.identifier.citation 61 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6845
dc.description.abstract In this thesis, we attempt to study the geography problem of a certain class of symplectic four-manifolds. We show how branched covering techniques in algebraic geometry can be used to achieve this goal. We study line arrangements and use them to explore the geography problem further. We prove that supersolvable line arrangements can be used to construct symplectic four-manifolds with positive signatures. We give an analytic proof for the existence of a symplectic structure on algebro-geometric branched covers. We study a certain class of four-manifolds that possess the ∞ 2 - property. We finally use a special line arrangement called the Wiman arrangement to improve the asymptotic formula related to the geography problem. en_US
dc.language.iso en en_US
dc.subject Symplectic Goegraphy Problem en_US
dc.subject Four manifold theory en_US
dc.subject Line arrangements and branched covers en_US
dc.title Abelian branched covers and symplectic geography problem en_US
dc.type Thesis en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Mathematics en_US
dc.contributor.registration 20171147 en_US


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  • MS THESES [1705]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

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