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Monodromy of Fukaya-Seidel categories mirror to toric varieties
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Monodromy of Fukaya-Seidel categories mirror to toric varieties. |
| 개인저자 | Hanlon, Andrew D. |
| 단체저자명 | University of California, Berkeley. Mathematics. |
| 발행사항 | [S.l.]: University of California, Berkeley., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 89 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781085779760 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Berkeley, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Auroux, Denis. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | Mirror symmetry for a toric variety involves Laurent polynomials whose symplectic topology is related to the algebraic geometry of the toric variety. We show that there is a monodromy action on the Fukaya-Seidel categories of these Laurent polynomials as the arguments of their coefficients vary that corresponds under homological mirror symmetry to tensoring by a line bundle naturally associated to the monomials whose coefficients are rotated. In the process, we introduce a new interpretation of the Fukaya-Seidel category of a Laurent polynomial on (C*)n, which has other potential applications, and give evidence of homological mirror symmetry for non-compact toric varieties by computing certain Floer-theoretic natural transformations. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
