Preprints

• Localization of Floer homology of engulfable topological Hamiltonian loop, preprint 2011, submitted; Thick-thin decomposition is redefined using the maximum principle
  instead of area comparison, which was faulty in the arXiv version. Additional theorems on the comparison between the local and the global spectral invariants are proved.
• Homotopy invariance of spectral invariants of topological Hamiltonian flows and its Lagrangian analog, preprint 2011, submitted version:
  Difference from the arXiv version is that we restrict to the 2 dimensional case in section 11 in this version, which results in the restriction to the case of dimension 2 in the main theorem,
  usage of Darboux family in section 11 is formalized and an appendix added for the exposition, and more details of the proof of Lemma 12.2 (in this version) are added.
  Higher dimensional cases will be treated in a sequel to this paper.
• A compactification of the space of maps from curves, preprint 2011, submitted, jointed with Bumsig Kim and A. Kresch.
• Spectral invariants with bulk, quasimorphisms and Lagrangian Floer theory, preprint 2011, submitted, jointed with K. Fukaya, H. Ohta and K. Ono.
• Displacement of polydisks and Lagrangian Floer theory, preprint 2011, submitted, jointed with K. Fukaya, H. Ohta and K. Ono.
• Lagrangian Floer theory over integers; spherically positive symplectic manifolds, preprint 2011, submitted, jointed with K. Fukaya, H. Ohta and K. Ono.
• Thick-thin decomposition of Floer trajectories and adiabatic gluing, preprint 2011, jointed with Ke Zhu.
• Extension of Calabi homomorphism and nonsimpleness of the area-preserving homeomorphism group of $D^2$, preprint 2010, revised Oct 2011, submitted version.
• Lagrangian Floer theory and mirror symmetry on compact toric manifolds, preprint 2010, jointed with Fukaya, Ohta and Ono.
• Anti-symplectic involution and Floer cohomology, jointed with Fukaya, Ohta and Ono, preprint, 2009, submitted.
• Unwarpped continuation invariance in Lagrangian Floer theory; energy and C^0 estimates, preprint 2009.
• Floer trajectories with immersed nodes and scale-dependent gluing, jointed with Ke Zhu, to appear in J. Symp. Geom.
• C^0-coerciveness of Moser's problem and smoothing area preserving homeomorphisms, preprint 2006.
• Quantization of Eilenberg-Steenrod axioms via Fary functors, jointed with Kasturirangan, preprint (RIMS-1251 1999).
  To get the preprint, Click here and search for the number 1251.