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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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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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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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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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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Title: | An Extension of Casson's Invariant. (Annals of mathematics studies, no.126) |
ISBN: | 9780691025322 |
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 14.11.2015 02:32:51
ISBN/EAN: 9780691025322
ISBN - alternate spelling:
0-691-02532-0, 978-0-691-02532-2
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