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Item Details
Title:
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AN EXTENSION OF CASSON'S INVARIANT. (AM-126), VOLUME 126
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By: |
Kevin Walker |
Format: |
Paperback |
List price:
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£62.00 |
Our price: |
£49.60 |
Discount: |
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You save:
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£12.40 |
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ISBN 10: |
0691025320 |
ISBN 13: |
9780691025322 |
Availability: |
Usually dispatched within 1-3 weeks.
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Publisher: |
PRINCETON UNIVERSITY PRESS |
Pub. date: |
3 March, 1992 |
Series: |
Annals of Mathematics Studies 126 |
Pages: |
150 |
Description: |
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. |
Synopsis: |
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. |
Publication: |
US |
Imprint: |
Princeton University Press |
Returns: |
Returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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