Maslov-Type Index Theory For Symplectic Paths With Lagrangian Boundary Conditions
Keyword(s):
AbstractIn this paper, we establish an index theory for symplectic paths starting from the identity with a Lagrangian boundary condition. We show that in some sense the index is the intersection number of a Lagrangian path generated by the symplectic path and a constant Lagrangian path. The various properties of this index theory are developed.
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