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dc.contributor.advisorPaul Seidel.en_US
dc.contributor.authorBlaier, Netanel Sen_US
dc.contributor.otherMassachusetts Institute of Technology. Department of Mathematics.en_US
dc.date.accessioned2017-03-10T15:05:31Z
dc.date.available2017-03-10T15:05:31Z
dc.date.copyright2016en_US
dc.date.issued2016en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/107327
dc.descriptionThesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.en_US
dc.descriptionCataloged from PDF version of thesis.en_US
dc.descriptionIncludes bibliographical references (pages 345-354).en_US
dc.description.abstractintroduce a subset K2,A of the symplectic mapping class group, and an invariant ... that associates a characteristic class in Hochschild cohomology to every symplectomorphism ... K2,A. These are analogues to the familiar Johnson kernel X9 and second Johnson homomorphism - 2 from low-dimensional topology. The method is quite general, and unlike many abstract tools, explicitly computable in certain nice cases. As an application, we prove the existence of symplectomorphism ... of infinite order in symplectic mapping class group ... where Y is the blow-up of P3 at a genus 4 curve. The classical connection between such Fano varieties and cubic 3-folds allows us to factor ... as a product of six-dimensional generalized Dehn twists.en_US
dc.description.statementofresponsibilityby Netanel S. Blaier.en_US
dc.format.extent354 pagesen_US
dc.language.isoengen_US
dc.publisherMassachusetts Institute of Technologyen_US
dc.rightsMIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.en_US
dc.rights.urihttp://dspace.mit.edu/handle/1721.1/7582en_US
dc.subjectMathematics.en_US
dc.titleThe quantum Johnson homomorphism and symplectomorphism of 3-foldsen_US
dc.typeThesisen_US
dc.description.degreePh. D.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics.en_US
dc.identifier.oclc972901791en_US


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