On the cohomologies of free loop spaces and rational cyclic cohomologies 自由ループ空間のコホモロジーと有理サイクリックコホモロジーについて
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Bibliographic Information
- Title
-
On the cohomologies of free loop spaces and rational cyclic cohomologies
- Other Title
-
自由ループ空間のコホモロジーと有理サイクリックコホモロジーについて
- Author
-
山口, 俊博
- Author(Another name)
-
ヤマグチ, トシヒロ
- University
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岡山大学
- Types of degree
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博士(理学)
- Grant ID
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甲第1935号
- Degree year
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1999-03-25
Note and Description
博士論文
Table of Contents
- Contents / p1 (0004.jp2)
- Chapter0.Preliminaries / p7 (0007.jp2)
- 1.Sullivan minimal model and formality / p7 (0007.jp2)
- 2.The models of LX and ES¹×s¹LX / p10 (0009.jp2)
- 3.Eilenberg-Moore spectral sequence / p13 (0010.jp2)
- Chapter1.The mod p cohomology algebras of free loop spaces / p17 (0012.jp2)
- 1.Notations / p17 (0012.jp2)
- 2.Hochschild homology / p19 (0013.jp2)
- 3.A useful subalgebra of Hochschild homology / p21 (0014.jp2)
- 4.The mod p cohomology of LX / p24 (0016.jp2)
- 5.Hodge decomposition / p35 (0021.jp2)
- Chapter2.The vanishing problem of the string class with degree3 / p39 (0023.jp2)
- 1.String class / p39 (0023.jp2)
- 2.Hochschild homology below degree3 / p41 (0024.jp2)
- 3.Kernel of [数式] / p48 (0028.jp2)
- 4.Homogeneous spaces of rank one / p52 (0030.jp2)
- Chapter3.Rational cyclic cohomology and formality / p57 (0032.jp2)
- 1.Normality of ES¹×s¹ LX / p57 (0032.jp2)
- 2.Formality conditions of ES¹×s¹LX / p64 (0036.jp2)
- 3.Connes'periodicity map on cyclic cohomology / p68 (0038.jp2)
- Bibliography / p77 (0042.jp2)
