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

References in corpus (4)

• Virtual neighborhood technique for pseudo-holomorphic spheres
• The Exponential Decay of Gluing Maps for $J$-Holomorphic map Moduli Spaces
• Relative Invariants, Contact Geometry and Open String Invariants
• Exponential decay of $J$-holomorphic maps with finite energy