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Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori
| Softcover ISBN: | 978-1-4704-6870-5 |
| Product Code: | MEMO/295/1469 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7769-1 |
| Product Code: | MEMO/295/1469.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6870-5 |
| eBook: ISBN: | 978-1-4704-7769-1 |
| Product Code: | MEMO/295/1469.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori
| Softcover ISBN: | 978-1-4704-6870-5 |
| Product Code: | MEMO/295/1469 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7769-1 |
| Product Code: | MEMO/295/1469.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6870-5 |
| eBook ISBN: | 978-1-4704-7769-1 |
| Product Code: | MEMO/295/1469.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 295; 2024; 106 ppMSC: Primary 57
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Table of Contents
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Chapters
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1. Introduction
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2. Examples
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3. Proof of Theorems and
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4. Initial assumptions and reductions
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5. Culler-Shalen theory
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6. Bending characters of triangle group amalgams
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7. The proof of Theorem when $F$ is a semi-fibre
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8. The proof of Theorem when $F$ is a fibre
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9. Further assumptions, reductions, and background material
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10. The proof of Theorem when $F$ is non-separating but not a fibre
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11. Algebraic and embedded $n$-gons in $X^\epsilon $
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12. The proof of Theorem when $F$ separates but is not a semi-fibre and $t_1^+ + t_1^- > 0$
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13. Background for the proof of Theorem when $F$ separates and $t_1^+ = t_1^-=0$
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14. Recognizing the figure eight knot exterior
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15. Completion of the proof of Theorem when $\Delta (\alpha , \beta ) \geq 7$
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16. Completion of the proof of Theorem when $X^-$ is not a twisted $I$-bundle
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17. Completion of the proof of Theorem when ${\Delta }(\alpha ,\beta )=6$ and $d = 1$
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18. The case that $F$ separates but not a semi-fibre, $t_1^+ = t_1^- = 0$, $d \ne 1$, and $M(\alpha )$ is very small
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19. The case that $F$ separates but is not a semi-fibre, $t_1^+ = t_1^- = 0$, $d>1$, and $M(\alpha )$ is not very small
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20. Proof of Theorem
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 295; 2024; 106 pp
MSC: Primary 57
-
Chapters
-
1. Introduction
-
2. Examples
-
3. Proof of Theorems and
-
4. Initial assumptions and reductions
-
5. Culler-Shalen theory
-
6. Bending characters of triangle group amalgams
-
7. The proof of Theorem when $F$ is a semi-fibre
-
8. The proof of Theorem when $F$ is a fibre
-
9. Further assumptions, reductions, and background material
-
10. The proof of Theorem when $F$ is non-separating but not a fibre
-
11. Algebraic and embedded $n$-gons in $X^\epsilon $
-
12. The proof of Theorem when $F$ separates but is not a semi-fibre and $t_1^+ + t_1^- > 0$
-
13. Background for the proof of Theorem when $F$ separates and $t_1^+ = t_1^-=0$
-
14. Recognizing the figure eight knot exterior
-
15. Completion of the proof of Theorem when $\Delta (\alpha , \beta ) \geq 7$
-
16. Completion of the proof of Theorem when $X^-$ is not a twisted $I$-bundle
-
17. Completion of the proof of Theorem when ${\Delta }(\alpha ,\beta )=6$ and $d = 1$
-
18. The case that $F$ separates but not a semi-fibre, $t_1^+ = t_1^- = 0$, $d \ne 1$, and $M(\alpha )$ is very small
-
19. The case that $F$ separates but is not a semi-fibre, $t_1^+ = t_1^- = 0$, $d>1$, and $M(\alpha )$ is not very small
-
20. Proof of Theorem
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