The quantum Johnson homomorphism and symplectomorphism of 3-folds
Name
972901791-MIT.pdf
Description
Full printable version
Size
21.4 MB
Format
Adobe PDF
Checksum (MD5)
1f2d5f927cb91a5333456f9b9e48c154
Author(s)
Blaier, Netanel S
Advisor(s)
Paul Seidel.
Date Issued
2016
Publisher
Massachusetts Institute of Technology
Abstract
introduce 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.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 345-354).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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