The Viterbo-Maslov Index in Dimension Two

2012/05/02 by Joel Robbin, Robbin, Joel, Dietmar Salamon +1
Mathematics · #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D40

paper · pdf · doi:10.48550/arxiv.1205.0535

35 pages, 8 figures

arxiv created 2012/05/02 · arxiv updated 2012/05/03

Abstract

We prove a formula that expresses the Viterbo-Maslov index of a smooth strip in an oriented 2-manifold with boundary curves contained in 1-dimensional submanifolds in terms the degree function on the complement of the union of the two submanifolds.

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