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In English

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  –{ Lagrangian inersection Floer theory book ([FOOO]) ‚ÉŠÖ‚·‚éƒhƒLƒ…ƒƒ“ƒg‚ð‚¢‚­‚‚©’u‚«‚Ü‚µ‚½.i2008”N‚P‚PŒŽj

Lagrangian Floer theory on compact toric manifolds II‚ð‚¨‚«‚Ü‚µ‚½Di2008”N11ŒŽj

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˜_•¶ƒŠƒXƒg‚ðXV‚µ‚Ü‚µ‚½D(‚Q‚O‚O‚V”N‚P‚PŒŽ)

‚³‚Ú‚Á‚Ä‚¢‚Ü‚µ‚½‚ªC‹v‚µ‚Ô‚è‚ɍXV‚µ˜_•¶‚ð“ñ‚‚½‚µ‚Ü‚µ‚½Di‚Q‚O‚O‚V”N‚RŒŽj

‚â‚Á‚Æsftp‚Ńz[ƒ€ƒy[ƒW‚ðXV‚·‚é ‚â‚è•û‚ðŠo‚¦‚āC‹v‚µ‚Ô‚è‚ɍXV‚µ‚Ü‚µ‚½D@(2003”N10ŒŽ)

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ƒzƒ‚ƒƒW[“Iƒ~ƒ‰[‘Ώ̐«‚̏”‘Š‚ð“ü‚ê‚Ü‚µ‚½B(10ŒŽ––‚Ì—Ž‡‘ìŽl˜YŽ‚ÌŠÒ—ï‹L”Osurveys in geometry‚Ì‚½‚ß‚Ì—\e)@(2003”N10ŒŽ)
Galois symmetry on Floer cohomology
‚ð“ü‚ê‚Ü‚µ‚½B@(2003”N10
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Asymptotic Analysis, Multivalued Morse theory and Mirror symmetry
‚ð“ü‚ê‚Ü‚µ‚½B@(2002”N3ŒŽ)
Deformation theory, Homological Algebra and Mirror symmetry
‚ð“ü‚ê‚Ü‚µ‚½Bi2001”N12ŒŽj
Floer homology and Mirror symmetry II
‚ð‚¢‚ê‚Ü‚µ‚½Di2001”N9ŒŽj
@‚±‚ê‚Ídviƒtƒ@ƒCƒ‹‚Å‚·DPDFƒtƒ@ƒCƒ‹‚ÍŠO‘‚Å“Ç‚ß‚È‚¢‚»‚¤‚Ȃ̂ŁC‚±‚ê‚©‚ç‚́C‚ ‚é‚à‚Ì‚Ídvi‚ɏ‡ŽŸ“ü‚ê‘Ö‚¦‚Ä‚¢‚Ü‚·D
Floer homology for families
‚ð“ü‚ê‚Ü‚µ‚½B(2001”N‚QŒŽ)
Encounter with Math.
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Lagrangian intersection Floer theory - anomaly and obstruction -
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@@iOh ‚³‚ñC‘¾“c‚³‚ñC¬–삳‚ñ‚Æ‚Ì‹¤’˜Dps file‚ðì‚Á‚½‚ç‚P‚RƒƒKƒoƒCƒg‚É‚È‚Á‚½‚̂ŁC‚±‚±‚É‚Ídvi file‚ð‚¨‚«‚Ü‚·Dj (2000”N11ŒŽ)
‘°‚̃tƒŒƒA[ƒzƒ‚ƒƒW[i2000”N6 ŒŽ”—Œ¤‚̃Vƒ“ƒ|ƒWƒEƒ€‚Ì—\ej‚ð“ü‚ê‚Ü‚µ‚½Bi2000”N10ŒŽj
2000
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Å‹ß‚̍XV‚Ì—“‚ðì‚è‚Ü‚µ‚½Bi2000”N10ŒŽj
1997
”N‚̐ɪ‘åŠw‚̍u‹`˜^i‰¡ŽR”ü²Žq‚³‚ñ‚É‚æ‚éj‚ð“ü‚ê‚Ü‚µ‚½Bi2000”N10ŒŽj
Mirror symmetry of Abelian variety and multi theta functions
‚̉ü’ù”Å‚ð‚¢‚ê‚Ü‚µ‚½Bi2000”N6ŒŽj
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˜_•¶uMorse homotopy A^{€infty} category and Floer homologiesv‚É‚Í‹Zp“I‚ÈŒë‚肪‚ ‚è‚Ü‚·B
@uFloer homology for three manifolds with boundary I v‚ƕʂ̘_•¶‚ŏ‘‚«Š·‚¦EC³‚³‚ê‚Ä‚¢‚Ü‚·B
uFloer homology for three manifolds with boundary I v‚̌㔼‚́A•„†‚ª‚³‚Ú‚Á‚Ä‚ ‚è‚Ü‚·B
‚Ü‚½‚»‚±‚̉¼’èisemi positivityj‚à‹­‚·‚¬A‚à‚Á‚ÆŽã‚¢‰¼’è‚ÌŒ³‚Å‹c˜_‚ªo—ˆ‚Ü‚·B‚±‚ê‚ç‚Ì“_‚Í Lagrangin intersection Floer theory - anomaly and obstructon - (with Oh Ohta Ono) ‚à‚Ƃ¢‚½Floer homology and Mirror symmetry II‚Å’ù³‚³‚ê‚Ä‚¢‚Ü‚·B
@uFloer homology of Lagrangian foliation and noncommutative mirror symmetry Iv‚ł́A ‚©‚È‚è‹­‚¢—\‘z‚ðŒ³‚É—˜_‚ð‘g‚Ý—§‚Ä‚Ä‚¢‚Ü‚·‚ªA‚±‚ê‚ç‚̈ꕔ‚Í uMirror symmetry of Abelian variety and multi theta functionv‚É‚æ‚è•s—v‚É‚È‚è‚Ü‚µ‚½B
uMirror symmetry of Abelian variety and multi theta functionv ‚Í uFloer homology of Lagrangian foliation and noncommutative mirror symmetry Iv‚Å—\‚³‚ê‚Ä‚¢‚éII‚Ì”¼•ªi‚P^‚RHj‚Å‚·B ‚Ì‚±‚è‚Ì•”•ª‚ɂ‚¢‚ẮAuFloer homology of Lagrangian foliation and noncommutative mirror symmetry Iv‚𠏑‚¢‚½‚Æ‚«l‚¦‚Ä‚¢‚½‚æ‚葽‚­‚̍¢“‚ ‚茤‹†’†‚Å‚·B
uMirror symmetry of Abelian variety and multi theta functionv‚Í‚Q‚O‚O‚O”N‚UŒŽ‚ɉü’ù‚³‚ê‚Ü‚µ‚½B‰ü’ù”łɂ́A‰¡’f“I‚Å‚È‚¢•”•ª‚ª‰ü—Ç‚³‚ê‚Ä‚¢‚Ü‚·‚ªA ”Šw“I‚ÉŠ®¬‚µ‚Ä‚¢‚È‚¢•”•ª‚̍lŽ@‚ª‚Ì‚¼‚©‚ê‚Ü‚µ‚½B‚Ì‚¼‚©‚ꂽ•”•ª‚̈ꕔ‚ÍFloer homology and Mirror symmetry I‚É‚ ‚è‚Ü‚·BŽc‚è‚Í‚»‚ÌII
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@Lagrangin intersection Floer theory - anomaly and obstructon - (with Oh Ohta Ono) ‚ÍŒ»Ý‰ü’ù’†‚Å‚·D ƒzƒ‚ƒgƒs[‘㐔‚Ì•”•ª‚È‚Ç‚ª‰ü—Ç‚³‚ê‚āC“Ç‚Ý‚â‚·‚­‚È‚é—\’è‚Å‚·D ‚»‚̈ꕔ‚ÍDeformation theory, Homological Algebra, and Mirror symmetry‚ʼnðà‚³‚ê‚Ä‚¢‚Ü‚·D

‚Q‚O‚O‚U”N‚É‚±‚ê‚Í‚PC‚QC‚RC‚SC‚TC‚UC‚VC‚XÍ‚ªŠ®¬‚µ”z•z‚µ‚Ü‚µ‚½D

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l    ”ŠwŽÒ‚É‚æ‚鐔ŠwŽÒ‚Ì‚½‚ß‚ÌŒ·‘o‘ΐ«“ü–åi81ƒy[ƒWA248kbj

l    ƒQ[ƒW—˜_‚̐”—‚Æ•¨—i75ƒy[ƒW412kbj

l    —ÊŽqƒRƒzƒ‚ƒƒW[i59ƒy[ƒW660kbj

l    1997”N‚̐ɪ‘åŠw‚̍u‹`˜\i180ƒy[ƒW6.6mbj

l    ‘°‚̃tƒŒƒA[ƒzƒ‚ƒƒW[i2000”N6ŒŽ‚̐”—Œ¤‚̃Vƒ“ƒ|ƒWƒEƒ€‚Ì—\eji28ƒy[ƒWA376kbj

l    Encounter with Math. ”ŠwŽÒ‚Í•¨—ŠwŽÒ‚©‚ç‚È‚É‚ðŠw‚ñ‚¾‚©A‚̉¡ŽR‚³‚ñ‚É‚æ‚é‹L˜^Bi24ƒy[ƒWA176kbAdviƒtƒ@ƒCƒ‹j

l    ”÷•ªŠô½ƒVƒ“ƒ|ƒWƒEƒ€i2003”Nj‚Ì‚½‚ß‚Ì\ei–â‘èWji28ƒy[ƒWA120kbAdviƒtƒ@ƒCƒ‹j

l    ƒzƒ‚ƒƒW[“Iƒ~ƒ‰[‘Ώ̐«‚̏”‘ŠBi52ƒy[ƒWA200kbAdviƒtƒ@ƒCƒ‹j

 

 

‚¢‚­‚‚©‚̘_•¶

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), @}“ü‚è 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)

 

 

@[FOOO]‚ÉŠÖ‚í‚éƒhƒLƒ…ƒƒ“ƒg

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.


˜_•¶ƒŠƒXƒg.

 

@@‚¢‚­‚‚©‚̍u‰‰‹L˜^

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,@ (2.6mb)

l    Lagrangian surgery and rigid analytic family of Floer homologies@ Berkeley 2009@ (260kb)

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)