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008 | | 200131s2019 ||||||||||||||||| ||eng d |
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▼a 9781085779760 |
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▼a (MiAaPQ)AAI13856938 |
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▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
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▼a 510 |
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▼a Hanlon, Andrew D. |
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▼a Monodromy of Fukaya-Seidel categories mirror to toric varieties. |
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▼a [S.l.]:
▼b University of California, Berkeley.,
▼c 2019. |
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▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
300 | |
▼a 89 p. |
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▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B. |
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▼a Advisor: Auroux, Denis. |
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▼a Thesis (Ph.D.)--University of California, Berkeley, 2019. |
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▼a This item must not be sold to any third party vendors. |
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▼a This item must not be added to any third party search indexes. |
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▼a 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. |
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▼a School code: 0028. |
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▼a Mathematics. |
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▼a 0405 |
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▼a University of California, Berkeley.
▼b Mathematics. |
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▼t Dissertations Abstracts International
▼g 81-04B. |
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▼t Dissertation Abstract International |
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▼a 0028 |
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▼a Ph.D. |
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▼a 2019 |
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▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15490828
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
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▼a 202002
▼f 2020 |
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▼a ***1816162 |
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▼a E-BOOK |