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020 ▼a 9780438191235
035 ▼a (MiAaPQ)AAI10907721
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0491 ▼f DP
0820 ▼a 510
1001 ▼a Abrikosov, Efim.
24510 ▼a Potentials for moduli spaces of Am-local systems on surfaces.
260 ▼a [S.l.] : ▼b Yale University., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 105 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
500 ▼a Adviser: Alexander Goncharov.
5021 ▼a Thesis (Ph.D.)--Yale University, 2018.
520 ▼a We study properties of potentials on quivers QT,m arising from cluster coordinates on moduli spaces of PGLm,+1-local systems on a topological surface with punctures. To every quiver with potential one can associate a 3d Calabi-Yau Ainfinity-cate
520 ▼a For any quiver one can define a notion of a "primitive" potential. Our first result is the description of the space of equivalence classes of primitive potentials on quivers QT,m. Then we provide a full description of the space of equivalence cl
520 ▼a In many cases 3d Calabi-Yau Ainfinity-categories constructed from quivers with potentials are expected to be realized geometrically as Fukaya categories of certain Calabi-Yau 3-folds. Bridgeland and Smith gave an explicit construction of Fukaya
590 ▼a School code: 0265.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a Yale University.
7730 ▼t Dissertation Abstracts International ▼g 79-11B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0265
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15000798 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자 ▼b 관리자