Abstract
In this chapter, we introduce an index function theory for paths in the symplectic groups started from the identity, i.e., elements in Pτ(2n) with τ > 0 defined by (2.0.1):
. For τ> 0 and ω∈U, we further define the set of ω-non-degenerate paths by
and the set of ω-degenerate paths by
.
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© 2002 Springer Basel AG
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Long, Y. (2002). Index functions for symplectic paths. In: Index Theory for Symplectic Paths with Applications. Progress in Mathematics, vol 207. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8175-3_5
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DOI: https://doi.org/10.1007/978-3-0348-8175-3_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9466-1
Online ISBN: 978-3-0348-8175-3
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