This is a home page of Kenji FUKAYA

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l Floer homology for three manifolds with boundary I, (unpublished written in 1997)(117p, 432kb)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

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 JUｌ,　 (350kb)