Oscillatory Modules In memory of Moshe Flato

被引：6

作者：

Tsygan, Boris ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2009年 / 88卷 / 1-3期

关键词：

Symplectic manifold; Lagrangian submanifold; deformation quantization; RIEMANN-ROCH THEOREMS; DEFORMATION QUANTIZATION; ALGEBRA; INDEX;

D O I：

10.1007/s11005-009-0322-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Developing the ideas of Bressler and Soibelman and of Karabegov, we introduce a notion of an oscillatory module on a symplectic manifold which is a sheaf of modules over the sheaf of deformation quantization algebras with an additional structure. We compare the category of oscillatory modules on a torus to the Fukaya category as computed by Polishchuk and Zaslow.

引用

页码：343 / 369

页数：27

共 50 条

[1] Special Volume Dedicated to the Memory of Moshe Flato
Dito, Giuseppe
Kontsevich, Maxim
Kreimer, Dirk
Matveev, Vladimir
Porrati, Massimo
Sternheimer, Daniel
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2009, 88 (1-3) : 1 - 2
[2] Cyclic formality and index theorems - In memory of Moshe Flato
Tamarkin, D
Tsygan, B
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2001, 56 (02) : 85 - 97
[3] Moshe Flato - Personal recollections
Connes, D
Connes, A
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1999, 48 (01) : 20 - 21
[4] The Master thesis of Moshe Flato
Kibler, M
[J]. CONFERENCE MOSHE FLATO 1999, VOL II: QUANTIZATION, DEFORMATIONS, AND SYMMETRIES, 2000, 22 : 177 - 184
[5] Airy Functions Over Local FieldsTo the memory of Moshe Flato
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[J]. Letters in Mathematical Physics, 2009, 88 : 187 - 206
[6] Moshe Flato - Personal recollections - Epilogue
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[J]. LETTERS IN MATHEMATICAL PHYSICS, 1999, 48 (01) : 29 - 33
[7] Moshe Flato (1937-1998) - Obituary
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[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2000, 33 (3-4) : IV - VI
[8] The Donald-Flanigan problem for finite reflection groups -: To the memory of Moshe!Flato z"l
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[J]. LETTERS IN MATHEMATICAL PHYSICS, 2001, 56 (01) : 41 - 72
[9] Non-Abelian symplectic cuts and the geometric quantization of noncompact manifolds - Dedicated to the memory of Moshe Flato
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[J]. LETTERS IN MATHEMATICAL PHYSICS, 2001, 56 (01) : 31 - 40
[10] In retrospect: A personal view on Moshe Flato's scientific legacy
Sternheimer, D
[J]. CONFERENCE MOSHE FLATO 1999, VOL I: QUANTIZATION, DEFORMATIONS, AND SYMMETRIES, 2000, 21 : 31 - 42

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