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Izvestiya Mathematics
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Special Bohr–Sommerfeld Lagrangian submanifolds of algebraic varieties

Special Bohr-Sommerfeld Lagrangian submanifolds of algebraic varieties
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2018Embargo end date: 01 Jan 2015Publisher:Steklov Mathematical InstituteJournal:Izvestiya: Mathematics, volume 82, pages 612-631 (issn: 1064-5632, eissn: 1468-4810, Copyright policy )
Authors: Tyurin, N. A.;

doi: 10.1070/im8657 , 10.48550/arxiv.1504.02589

arXiv: 1504.02589

Special Bohr–Sommerfeld Lagrangian submanifolds of algebraic varieties

Abstract

We present a new notion of speciality which is valid for Bohr - Sommerfeld lagrangian submanifolds. For algebraic varieties it leads to the construction of finite dimensional moduli spaces which are algebraic starting with any ample line bundle. The construction can be exploited both in Geometric Quantization and Mirror Symmetry.

4 pages, in Russian. Thezis of the minicourse which will be presented at Koryajma school in August

Keywords

algebraic variety, Lagrangian shadows, gradient flow, Mathematics - Algebraic Geometry, Lagrangian submanifolds; Maslov index, Mirror symmetry (algebro-geometric aspects), Lagrangian submanifold, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Bohr-Sommerfeld condition, ample divisors, Algebraic Geometry (math.AG), plurisubharmonic function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze