Lagrangian cobordisms between enriched knot diagrams

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Abstract/Contents

Abstract
In this dissertation, we present certain obstructions to the existence of Lagrangian cobordisms in $\R^4$ which depend only on the data of enriched diagrams of the boundaries. The goal is to explore the applications of holomorphic curve techniques to undercutting relations between enriched diagrams, which are dictated by the existence of Lagrangian cobordisms. We provide example applications such as the growing and shrinking of boundary knots of Lagrangians depending on the signs of crossings.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2021; ©2021
Publication date 2021; 2021
Issuance monographic
Language English

Creators/Contributors

Author Datta, Ipsita
Degree supervisor Eliashberg, Y, 1946-
Thesis advisor Eliashberg, Y, 1946-
Thesis advisor Ionel, Eleny
Thesis advisor Manolescu, Ciprian, 1978-
Degree committee member Ionel, Eleny
Degree committee member Manolescu, Ciprian, 1978-
Associated with Stanford University, Department of Mathematics

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Ipsita Datta.
Note Submitted to the Department of Mathematics.
Thesis Thesis Ph.D. Stanford University 2021.
Location https://purl.stanford.edu/tq978kc5529

Access conditions

Copyright
© 2021 by Ipsita Datta
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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