This is a home page of Kenji FUKAYA

In Japanese

 Some documents on the book Lagrangian inersection Floer theory book ([FOOO]) is put here.

Some papers

l    Morse homotopy and its quantization (written in 1993, published in AMS/IP Studies in Advanced Math. 2,@@ (1997) 409 - 440.)(228kb)

l    The informal note on topology geometry and topological field theory, (written in 1995, published in "Geometry of Pacific Rims" de Gruyter, (1997)), (17p 84kb)

l    Morse homotopy A^{infty} category and Floer homologies (written in 1993, published in a Proc. of Garc Work shop in Geometry, Seoul National Univ.)(100p,432kb)

l    Zero-Loop open string in the cotangent bundle and Morse homotopy (with Y.G Oh, published in Asian Journal of Math. 1 (1998) pp 96 - 180)(512kb)

l    Floer homology for three manifolds with boundary I, (unpublished written in 1997)(117p, 432kb)

l    Floer homology of Lagrangian foliation and noncommutative mirror symmetry I, (preprint written in 1998)(52p, 296kb)

l    Mirror symmetry of Abelian variety and multi theta functions, (preprint written in 1998)(113p, 604kb)

l    Mirror symmetry of Abelian variety and multi theta functions, (revised version 2000)(93p, 556kb)

l    Floer homology and Gromov-Witten invariants over integer of general symplectic manifolds (with K. Ono, preprint written in 1999)(12p, 204kb)

l    Floer homology and Mirror symmetry I (preprint written in 1999)(28p, 308kb)

l    Lagrangin intersection Floer theory - anomaly and obstructon - (with Oh Ohta Ono) (2000)(313p 1.2mb) (dvi file)

l    Floer homology for families - report of a project in progress - (2001) (37p 376 kb) (pdf file)

l    Floer homology and Mirror symmetry II - (2001) (75p 344 kb) (dvi file)

l    Deformation theory, Homological Algebra, and Mirror symmetry @ (2001) (90p 408 kb) (dvi file)

l    Asymptotic Analysis, Multivalued Morse theory, and Mirror symmetry @ (2002) @(80p 373 kb) (dvi file)

l    Galois symmetry on Floer cohomology @ (2003) @(21p 100 kb) (dvi file)

l    Application of Floer homology of Langrangian submanifolds to Symplectic topology @ (2005) (38p 193 kb) (dvi file)

l    Differentiable operad, Kuranishi correspondence,and Foundation of topological field theories@ (2007) @(80p 300 kb) (dvi file), @with Figures 504kb.pdffile

l    Lagrangian intersection Floer theory - anomaly and obstruction - (with Oh, Ohta, Ono) Chapter 8   (2007) (150p 1500 kb) (pdf file)

l    Lagrangian intersection Floer theory - anomaly and obstruction - (with Oh, Ohta, Ono) Chapter 9   (2007) (91p 465 kb) (pdf file)

l    Lagrangian intersection Floer theory - anomaly and obstruction - (with Oh, Ohta, Ono) Chapter 10   (2007) (182p 1700 kb) (pdf file)

l    Lagrangian intersection Floer theory - anomaly and obstruction - (with Oh, Ohta, Ono) Section A1   (2007) (48p 749 kb) (pdf file)

l    Loop space and holomorphic disc -summary  (2007) (14p, 376KB) (pdf file)

l    Lagrangian Floer theory on compact toric manifolds I - (with Oh, Ohta, Ono)   (2008) (73p, 1.1mb) (pdf file)

l    Lagrangian Floer theory on compact toric manifolds II - (with Oh, Ohta, Ono)   (2008) (76p, 417kb) (pdf file)

 

 

l    A note on the difference between the year-2006 version and the book version of [FOOO].

l    Slightly revised version of Chapter 8 of 2006/7 version

l    Normally polynomial perturbation.

l    Talbe of Correspondence of Sections and Theorems etc in introduction.

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List of publication.

 

@@Some Lectures

l    Homological algebra for open closed Gromov-Witten theory, Paris 2007 Jan,@ (980kb)

l    Loop space and holomorphic disc Hanzou 2007 Dec,@ (3mb)

l    Symplectic Geometry and Lagrangian submanifold Kashiwa 2008 March,@ (6.3mb)

l    Lagrangian Floer theory via example of toric manifolds 1, Stanford 2008 Aug,@ (1.2mb)

l    Lagrangian Floer theory via example of toric manifolds 2, Stanford 2008 Aug,@ (1.3mb)

l    Lagrangian Floer theory via example of toric manifolds 3, Stanford 2008 Aug,@ (668kb)

l    Mirror symmetry between Toric A model and Landau-Ginzberg B-model, Keio@ 2008 Oct,@ (1.6mb)

l    Lagrangian Floer Theory, Sydney@ 2009 July,@ (350kb)

l    Lagrangian Floer Theory, Kyoto@ 2009 September,@ (721kb)

l    Cyclic symmetry and numerical invariant CY Miami 2009 Jan,@ (2.4mb)

l    Cyclic symmetry and numerical invariant Toric@ Korea 2009 Jan,@ (2.4mb)

l    Lagrangian surgery and ridig analytic family of Floer homologies Berkeley 2009@ (240kb)

l    Open-Closed@Gromov-Witten theory and Floer homology, Berkeley 2011@ (1030kb)

l    Lagrangian Floer theory of arbitrary genus and Gromov-­]Witten invariant, Kawaguchi-ko and Miami@ 2012 Jan, (7.8MB)

l    Smoothing moduli spaces and Lagrangian Floer theory of arbitrary genus, Miami 2012 Jan, (4.4Mb)