Maslov index

1980 ◽  
pp. 39-46
Author(s):  
Gérard Lion ◽  
Michèle Vergne
Keyword(s):  
Maslov Index

On the Isotropic Reduction Method and the Maslov Index

2008 ◽  
Vol 35 (5) ◽  
Author(s):  
Miguel Javaloyes ◽  
Paolo Piccione
Keyword(s):  
Reduction Method ◽  
Maslov Index

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

2004 ◽  
Vol 338 (5) ◽  
pp. 397-402 ◽  
Author(s):  
Roberto Giambò ◽  
Paolo Piccione ◽  
Alessandro Portaluri
Keyword(s):  
Maslov Index ◽  
Spectral Flow

scholarly journals Monotone Lagrangians in Flag Varieties

2019 ◽  
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.

scholarly journals The Maslov Index: a Functional Analytical Definition and the Spectral Flow Formula

1998 ◽  
Vol 21 (1) ◽  
pp. 1-34 ◽  
Author(s):  
Bernhelm BOOSS-BAVNBEK ◽  
Kenro FURUTANI
Keyword(s):  
Maslov Index ◽  
Spectral Flow

Coloured tangles and signatures

2017 ◽  
Vol 164 (3) ◽  
pp. 493-530 ◽  
Author(s):  
DAVID CIMASONI ◽  
ANTHONY CONWAY
Keyword(s):  
Braid Group ◽  
Maslov Index ◽  
Burau Representation

AbstractTaking the signature of the closure of a braid defines a map from the braid group to the integers. In 2005, Gambaudo and Ghys expressed the homomorphism defect of this map in terms of the Meyer cocycle and the Burau representation. In the present paper, we simultaneously extend this result in two directions, considering the multivariable signature of the closure of a coloured tangle. The corresponding defect is expressed in terms of the Maslov index and of the Lagrangian functor defined by Turaev and the first-named author.

Maslov index in Chern-Simons quantum mechanics

1990 ◽  
Vol 42 (8) ◽  
pp. 2763-2778 ◽  
Author(s):  
M. Reuter
Keyword(s):  
Quantum Mechanics ◽  
Maslov Index ◽  
Chern Simons
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