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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) - gebrauchtes Buch

ISBN: 9780691025322

ID: 9780691025322

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 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. Textbooks New, Books~~Mathematics~~General, Extension-of-Cassons-Invariant~~Kevin-Walker, 999999999, An Extension of Casson's Invariant. (AM-126), Kevin Walker, 0691025320, Princeton University Press, , , , , Princeton University Press

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An Extension Of Casson's Invariant
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ISBN: 9780691025322

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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 (Paperback) - Kevin Walker
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An Extension of Casson's Invariant (Paperback) - Taschenbuch

1992

ISBN: 0691025320

ID: 7651512760

[EAN: 9780691025322], Neubuch, [PU: Princeton University Press, United States], Mathematics|Advanced, Science|General, Brand New Book ***** Print on Demand *****.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.

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

ISBN: 9780691025322

[ED: Softcover], [PU: PRINCETON UNIV PR], 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.150 pagesVersandfertig in über 4 Wochen, [SC: 0.00]

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An Extension of Casson's Invariant - Walker, Kevin
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Walker, Kevin:
An Extension of Casson's Invariant - Taschenbuch

1992, ISBN: 0691025320

ID: 181037680

[EAN: 9780691025322], Gebraucht, guter Zustand, [PU: Princeton University Press, Princeton, NJ], MATH MATHEMATICS ARITHMETIC THREE-MANIFOLDS TOPOLOGY INVARIANTS DEHN SURGERY FORMULA DEDEKIND SUMS ALEXANDER POLYNOMIALS SYMPLECTIC GEOMETRY, Science|General, minor shelf wear and cover soil, v + 131 pp including appendices and bibliography, in 6 sections, section 1 contains results on the topology and symplectic geometry of certain representation spaces and misc background material, section 2 contains the definition of lambda, sections 3 and 4 contain the proof of the Dehn surgery formula, section 5 uses the Dehn surgery formula to give proof of the existence of lambda, section 6uses the formula to prove various properties of lambda

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An Extension of Casson's Invariant. (Annals of mathematics studies, no.126)
Autor:

Walker, Kevin

Titel:

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

ISBN-Nummer:

9780691025322

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.

Detailangaben zum Buch - An Extension of Casson's Invariant. (Annals of mathematics studies, no.126)


EAN (ISBN-13): 9780691025322
ISBN (ISBN-10): 0691025320
Taschenbuch
Erscheinungsjahr: 1992
Herausgeber: PRINCETON UNIV PR
150 Seiten
Gewicht: 0,218 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 23.05.2007 15:57:05
Buch zuletzt gefunden am 14.11.2015 02:32:51
ISBN/EAN: 9780691025322

ISBN - alternative Schreibweisen:
0-691-02532-0, 978-0-691-02532-2

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