On the Maslov index in a symplectic reduction and applications

Henrique Vitório

doi:10.1090/proc/14985

On the Maslov index in a symplectic reduction and applications

Proceedings of the American Mathematical Society ◽

10.1090/proc/14985 ◽

2020 ◽

Vol 148 (8) ◽

pp. 3517-3526

Author(s):

Henrique Vitório

Keyword(s):

Maslov Index ◽

Symplectic Reduction

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On the Isotropic Reduction Method and the Maslov Index

Revista Matemática Contemporânea ◽

10.21711/231766362008/rmc355 ◽

2008 ◽

Vol 35 (5) ◽

Author(s):

Miguel Javaloyes ◽

Paolo Piccione

Keyword(s):

Reduction Method ◽

Maslov Index

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The cocycle of the Shale-Weil representation and the Maslov index

Progress in Mathematics - The Weil representation, Maslov index and Theta series ◽

10.1007/978-1-4684-9154-8_7 ◽

1980 ◽

pp. 47-63 ◽

Cited By ~ 1

Author(s):

Gérard Lion ◽

Michèle Vergne

Keyword(s):

Maslov Index ◽

Weil Representation

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Maslov index

Progress in Mathematics - The Weil representation, Maslov index and Theta series ◽

10.1007/978-1-4684-9154-8_6 ◽

1980 ◽

pp. 39-46

Author(s):

Gérard Lion ◽

Michèle Vergne

Keyword(s):

Maslov Index

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Symplectic Reduction of the Minimally Coupled Massless Superparticle in D=10

Differential Geometric Methods in Theoretical Physics - NATO ASI Series ◽

10.1007/978-1-4684-9148-7_68 ◽

1990 ◽

pp. 693-701

Author(s):

John Harnad ◽

Joel A. Shapiro ◽

Steven Shnider ◽

Cyrus C. Taylor

Keyword(s):

Symplectic Reduction

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Non-Holonomic Systems with Symmetry Allowing a Conformally Symplectic Reduction

New Advances in Celestial Mechanics and Hamiltonian Systems ◽

10.1007/978-1-4419-9058-7_15 ◽

2004 ◽

pp. 239-252

Author(s):

Pedro de M. Rios ◽

Jair Koiller

Keyword(s):

Symplectic Reduction ◽

Holonomic Systems

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Corrigendium to "The Gromov norm of the Kaehler class and the Maslov index", Asian J. Math., VOL. 7, NO. 2, 269-296, 2003

Asian Journal of Mathematics ◽

10.4310/ajm.2004.v8.n3.a1 ◽

2004 ◽

Vol 8 (3) ◽

pp. 391-394

Author(s):

Jean-Louis Clerc ◽

Bent Ørsted

Keyword(s):

Maslov Index ◽

Gromov Norm

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Computation of the Maslov index and the spectral flow via partial signatures

Comptes Rendus Mathematique ◽

10.1016/j.crma.2004.01.004 ◽

2004 ◽

Vol 338 (5) ◽

pp. 397-402 ◽

Cited By ~ 16

Author(s):

Roberto Giambò ◽

Paolo Piccione ◽

Alessandro Portaluri

Keyword(s):

Maslov Index ◽

Spectral Flow

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An Example of Algebraic Symplectic Reduction for the Additive Group

Trends in Mathematics - New Trends in Analysis and Interdisciplinary Applications ◽

10.1007/978-3-319-48812-7_5 ◽

2017 ◽

pp. 35-42

Author(s):

Victoria Hoskins

Keyword(s):

Additive Group ◽

Symplectic Reduction

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Symplectic Reduction for Cotangent Groupoids

Pure Mathematics ◽

10.12677/pm.2021.113043 ◽

2021 ◽

Vol 11 (03) ◽

pp. 323-329

Author(s):

远莉戴

Keyword(s):

Symplectic Reduction

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Monotone Lagrangians in Flag Varieties

International Mathematics Research Notices ◽

10.1093/imrn/rnz227 ◽

2019 ◽

Cited By ~ 1

Author(s):

Yunhyung Cho ◽

Yoosik Kim

Keyword(s):

Maslov Index ◽

Chern Number ◽

Flag Manifolds ◽

Flag Varieties ◽

Holomorphic Disk ◽

Relative Version ◽

Number Formula

Abstract In this paper, we give a formula for the Maslov index of a gradient holomorphic disk, which is a relative version of the Chern number formula of a gradient holomorphic sphere for a Hamiltonian $S^1$-action. Using the formula, we classify all monotone Lagrangian fibers of Gelfand–Cetlin systems on partial flag manifolds.

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