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An Extension Of Casson's Invariant
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An Extension Of Casson's Invariant - new book

ISBN: 9780691025322

ID: 6274964

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M. Books, Science and Geography~~Mathematics~~Algebra, An Extension Of Casson's Invariant~~Book~~9780691025322~~Kevin Walker, , , , , , , , , ,, [PU: Princeton University Press]

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An Extension of Casson's Invariant. (AM-126), Volume 126 - Kevin Walker
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An Extension of Casson's Invariant. (AM-126), Volume 126 - new book

ISBN: 9780691025322

ID: 978069102532

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M. Kevin Walker, Books, Science and Nature, An Extension of Casson's Invariant. (AM-126), Volume 126 Books>Science and Nature, Princeton University Press

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An Extension of Casson's Invariant. (AM-126) - Kevin Walker
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Kevin Walker:
An Extension of Casson's Invariant. (AM-126) - new book

ISBN: 9780691025322

ID: 978069102532

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M. Kevin Walker, Books, Science and Nature, An Extension of Casson's Invariant. (AM-126) Books>Science and Nature, Princeton University Press

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An Extension of Casson's Invariant - Kevin Walker
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An Extension of Casson's Invariant - used book

ISBN: 0691025320

ID: 7771038

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W, W, F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M. geometry and topology,math,mathematics,science and math,science and math,textbooks,topology Mathematics, Princeton University Press

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An Extension of Casson's Invariant. (Am-126) - Walker, Kevin
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An Extension of Casson's Invariant. (Am-126) - used book

ISBN: 9780691025322

ID: 2545363

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W, W, F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M. An Extension of Casson's Invariant. (Am-126) Walker, Kevin, Princeton University Press

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Details of the book
An Extension of Casson's Invariant. (Annals of mathematics studies, no.126)

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W, W, F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M.

Details of the book - An Extension of Casson's Invariant. (Annals of mathematics studies, no.126)


EAN (ISBN-13): 9780691025322
ISBN (ISBN-10): 0691025320
Paperback
Publishing year: 1992
Publisher: PRINCETON UNIV PR
150 Pages
Weight: 0,218 kg
Language: eng/Englisch

Book in our database since 23.05.2007 15:57:05
Book found last time on 18.11.2017 08:39:04
ISBN/EAN: 9780691025322

ISBN - alternate spelling:
0-691-02532-0, 978-0-691-02532-2


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