A study on the Morse theoretical construction of the link invariants through quantum groups 量子群を用いた絡み目の不変量のモース理論的構成に関する研究
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Bibliographic Information
- Title
-
A study on the Morse theoretical construction of the link invariants through quantum groups
- Other Title
-
量子群を用いた絡み目の不変量のモース理論的構成に関する研究
- Author
-
中坊, 滋一
- Author(Another name)
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ナカボウ, シゲカズ
- University
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九州大学
- Types of degree
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博士(数理学)
- Grant ID
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乙第6850号
- Degree year
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1999-03-25
Note and Description
博士論文
Table of Contents
- Contents / p1 (0005.jp2)
- 1 Prologue / p1 (0007.jp2)
- 2 An Invariant of Links in a Handlebody Associated with the Spin j Representation of [数式] / p4 (0010.jp2)
- 2.1 Introduction / p4 (0010.jp2)
- 2.2 [数式] and its spin j representation / p5 (0011.jp2)
- 2.3 Construction of invariants / p7 (0013.jp2)
- 2.4 Examples / p12 (0018.jp2)
- 2.5 A representation of the generalized braid group associated with the Lie algebras of types B and C / p14 (0020.jp2)
- 3 Links in a Solid Torus and Dichromatic Link Invariants Derived from Quantum Groups / p17 (0023.jp2)
- 3.1 Introduction / p17 (0023.jp2)
- 3.2 Construction of invariants / p18 (0024.jp2)
- 3.3 Main result / p21 (0027.jp2)
- 3.4 Dichromatic link invariants / p24 (0030.jp2)
- 4 An Explicit Description of the HOMFLY Polynomial of 2-Bridge Knots and Links / p26 (0032.jp2)
- 4.1 Introduction / p26 (0032.jp2)
- 4.2 Definitions / p27 (0033.jp2)
- 4.3 An experiment / p28 (0034.jp2)
- 4.4 Proof of Theorem / p31 (0037.jp2)
- 4.5 Corollaries / p35 (0041.jp2)
- 4.6 Example / p38 (0044.jp2)
- A Proof of Lemmas 2.3.2 and 2.3.3 / p43 (0049.jp2)
- B Outputs of the formula (4.3.3) by Mathematica(R) / p46 (0052.jp2)