Contact Invariants, Open String Invariants and Weinstein Conjecture

Abstract

We propose a theory of contact invariants and open string invariants, assuming that the almost complex $J$ is either non-degenerate or of Bott-type. We do not choose the complex structure $\tilde{J}$ such that $L_X\tilde{J}=0$ on periodic orbits.

13pages. arXiv admin note: substantial text overlap with arXiv:1501.01094