2005/05/01 by Yi-Jen Lee, Lee, Yi-Jen
Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG) #math.DG #math.SG #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0505013
94 pages. math.DG/0111313 is splitted into two parts. This is the second part
arxiv created 2005/05/01 · openalex publication_date 2005/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the second part of an article in two parts, which builds the foundation of a Floer-theoretic invariant, IF. (See math.DG/0111313 for part I). Having constructed IF and outlined a proof of its invariance based on bifurcation analysis in part I, in this part we prove a series of gluing theorems to confirm the bifurcation behavior predicted in part I. These gluing theorems are different from (and much harder than) the more conventional versions in that they deal with broken trajectories or broken orbits connected at degenerate rest points. The issues of orientation and signs are also settled in the last section.