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Maslov index and Spectral Flow

Lim, Johnny

Description

In [1], Arnol'd discussed the Maslov index as an intersection number of Lagrangian loop with the Maslov cycle, whereas in [17], Robbin and Salamon gave a de nition of the Maslov index in term of the signature of crossing form. Furthermore, the Maslov index is characterized by axioms. The index is a homotopy invariant with xed endpoints, and is additive for the concatenation of Lagrangian paths. Application wise, in [8], Floer studied the case where the Hessian (a second order di erential...[Show more]

CollectionsOpen Access Theses
Date published: 2016
Type: Thesis (Masters)
URI: http://hdl.handle.net/1885/173613
DOI: 10.25911/5d9efb36b5576

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