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Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori
 
Steven Boyer Université du Québec à Montréal, Montréal, Quebec, Canada
Cameron McA. Gordon University of Texas at Austin, Austin, Texas
Xingru Zhang University at Buffalo, Buffalo, New York
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
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
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
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
Click above image for expanded view
Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori
Steven Boyer Université du Québec à Montréal, Montréal, Quebec, Canada
Cameron McA. Gordon University of Texas at Austin, Austin, Texas
Xingru Zhang University at Buffalo, Buffalo, New York
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
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
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
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2952024; 106 pp
    MSC: Primary 57

    View the abstract.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2952024; 106 pp
MSC: Primary 57

View the abstract.

  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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