Casson's invariant for oriented homology 3-spheres :: an exposition /
In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John M...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
1990.
|
| Schriftenreihe: | Mathematical notes (Princeton University Press) ;
36. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson''s original outline and proceed by giving needed details, including an exposition of Newstead''s results. They have often chosen classical concrete approaches over genera. |
| Beschreibung: | 1 online resource (xviii, 182 pages) : illustrations |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781400860623 1400860628 |
Internformat
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| 245 | 1 | 0 | |a Casson's invariant for oriented homology 3-spheres : |b an exposition / |c by Selman Akbulut and John D. McCarthy. |
| 260 | |a Princeton, N.J. : |b Princeton University Press, |c 1990. | ||
| 300 | |a 1 online resource (xviii, 182 pages) : |b illustrations | ||
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| 490 | 1 | |a Mathematical notes ; |v 36 | |
| 504 | |a Includes bibliographical references. | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
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| 505 | 0 | |a Cover; Contents; I: Representation Spaces; II: Heegard Decompositions and Stable Equivalence; III: Representation Spaces Associated to Heegard Decompositions; IV: Casson''s Invariant for Oriented Homology 3-Spheres; V: Casson''s Invariant for Knots in Homology 3-Spheres; VI: The Topology of the Space of Representations. | |
| 520 | |a In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson''s original outline and proceed by giving needed details, including an exposition of Newstead''s results. They have often chosen classical concrete approaches over genera. | ||
| 650 | 0 | |a Three-manifolds (Topology) |0 http://id.loc.gov/authorities/subjects/sh85135028 | |
| 650 | 0 | |a Invariants. |0 http://id.loc.gov/authorities/subjects/sh85067665 | |
| 650 | 6 | |a Variétés topologiques à 3 dimensions. | |
| 650 | 6 | |a Invariants. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Invariants |2 fast | |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast | |
| 650 | 7 | |a Mannigfaltigkeit |2 gnd |0 http://d-nb.info/gnd/4037379-4 | |
| 650 | 7 | |a Dimension 3 |2 gnd |0 http://d-nb.info/gnd/4321722-9 | |
| 650 | 7 | |a Invariantentheorie |2 gnd |0 http://d-nb.info/gnd/4162209-1 | |
| 650 | 7 | |a Homologie |2 gnd |0 http://d-nb.info/gnd/4141951-0 | |
| 650 | 7 | |a Topologia. |2 larpcal | |
| 650 | 7 | |a Variedades de dimensão baixa. |2 larpcal | |
| 650 | 7 | |a Variétés topologiques à 3 dimensions. |2 ram | |
| 650 | 7 | |a Invariants. |2 ram | |
| 700 | 1 | |a McCarthy, John D., |d 1955- |1 https://id.oclc.org/worldcat/entity/E39PCjyx4CqHfvdWKwr936ygjy | |
| 740 | 0 | |a Homology 3-spheres. | |
| 758 | |i has work: |a Casson's invariant for oriented homology 3-spheres (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG3mGqx7hc8mfptXPjTFgC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Akbulut, Selman, 1949- |t Casson's invariant for oriented homology 3-spheres. |d Princeton, N.J. : Princeton University Press, 1990 |z 9780691085630 |w (DLC) 89038532 |w (OCoLC)20352724 |
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Datensatz im Suchindex
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| _version_ | 1816881769876553729 |
| adam_text | |
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| author | Akbulut, Selman, 1949- |
| author2 | McCarthy, John D., 1955- |
| author2_role | |
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| author_GND | http://id.loc.gov/authorities/names/n88294663 |
| author_facet | Akbulut, Selman, 1949- McCarthy, John D., 1955- |
| author_role | |
| author_sort | Akbulut, Selman, 1949- |
| author_variant | s a sa |
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| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA613 |
| callnumber-raw | QA613 .A43 1990eb |
| callnumber-search | QA613 .A43 1990eb |
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| contents | Cover; Contents; I: Representation Spaces; II: Heegard Decompositions and Stable Equivalence; III: Representation Spaces Associated to Heegard Decompositions; IV: Casson''s Invariant for Oriented Homology 3-Spheres; V: Casson''s Invariant for Knots in Homology 3-Spheres; VI: The Topology of the Space of Representations. |
| ctrlnum | (OCoLC)752444389 |
| dewey-full | 514/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.3 |
| dewey-search | 514/.3 |
| dewey-sort | 3514 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn752444389 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:59Z |
| institution | BVB |
| isbn | 9781400860623 1400860628 |
| language | English |
| lccn | 89038532 |
| oclc_num | 752444389 |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xviii, 182 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Mathematical notes (Princeton University Press) ; |
| series2 | Mathematical notes ; |
| spelling | Akbulut, Selman, 1949- https://id.oclc.org/worldcat/entity/E39PBJwxMyxhcPr9pvPDkh3xXd http://id.loc.gov/authorities/names/n88294663 Casson's invariant for oriented homology 3-spheres : an exposition / by Selman Akbulut and John D. McCarthy. Princeton, N.J. : Princeton University Press, 1990. 1 online resource (xviii, 182 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematical notes ; 36 Includes bibliographical references. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL Print version record. Cover; Contents; I: Representation Spaces; II: Heegard Decompositions and Stable Equivalence; III: Representation Spaces Associated to Heegard Decompositions; IV: Casson''s Invariant for Oriented Homology 3-Spheres; V: Casson''s Invariant for Knots in Homology 3-Spheres; VI: The Topology of the Space of Representations. In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson''s original outline and proceed by giving needed details, including an exposition of Newstead''s results. They have often chosen classical concrete approaches over genera. Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Variétés topologiques à 3 dimensions. Invariants. MATHEMATICS Topology. bisacsh Invariants fast Three-manifolds (Topology) fast Mannigfaltigkeit gnd http://d-nb.info/gnd/4037379-4 Dimension 3 gnd http://d-nb.info/gnd/4321722-9 Invariantentheorie gnd http://d-nb.info/gnd/4162209-1 Homologie gnd http://d-nb.info/gnd/4141951-0 Topologia. larpcal Variedades de dimensão baixa. larpcal Variétés topologiques à 3 dimensions. ram Invariants. ram McCarthy, John D., 1955- https://id.oclc.org/worldcat/entity/E39PCjyx4CqHfvdWKwr936ygjy Homology 3-spheres. has work: Casson's invariant for oriented homology 3-spheres (Text) https://id.oclc.org/worldcat/entity/E39PCG3mGqx7hc8mfptXPjTFgC https://id.oclc.org/worldcat/ontology/hasWork Print version: Akbulut, Selman, 1949- Casson's invariant for oriented homology 3-spheres. Princeton, N.J. : Princeton University Press, 1990 9780691085630 (DLC) 89038532 (OCoLC)20352724 Mathematical notes (Princeton University Press) ; 36. http://id.loc.gov/authorities/names/n42032553 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=791202 Volltext |
| spellingShingle | Akbulut, Selman, 1949- Casson's invariant for oriented homology 3-spheres : an exposition / Mathematical notes (Princeton University Press) ; Cover; Contents; I: Representation Spaces; II: Heegard Decompositions and Stable Equivalence; III: Representation Spaces Associated to Heegard Decompositions; IV: Casson''s Invariant for Oriented Homology 3-Spheres; V: Casson''s Invariant for Knots in Homology 3-Spheres; VI: The Topology of the Space of Representations. Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Variétés topologiques à 3 dimensions. Invariants. MATHEMATICS Topology. bisacsh Invariants fast Three-manifolds (Topology) fast Mannigfaltigkeit gnd http://d-nb.info/gnd/4037379-4 Dimension 3 gnd http://d-nb.info/gnd/4321722-9 Invariantentheorie gnd http://d-nb.info/gnd/4162209-1 Homologie gnd http://d-nb.info/gnd/4141951-0 Topologia. larpcal Variedades de dimensão baixa. larpcal Variétés topologiques à 3 dimensions. ram Invariants. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85135028 http://id.loc.gov/authorities/subjects/sh85067665 http://d-nb.info/gnd/4037379-4 http://d-nb.info/gnd/4321722-9 http://d-nb.info/gnd/4162209-1 http://d-nb.info/gnd/4141951-0 |
| title | Casson's invariant for oriented homology 3-spheres : an exposition / |
| title_alt | Homology 3-spheres. |
| title_auth | Casson's invariant for oriented homology 3-spheres : an exposition / |
| title_exact_search | Casson's invariant for oriented homology 3-spheres : an exposition / |
| title_full | Casson's invariant for oriented homology 3-spheres : an exposition / by Selman Akbulut and John D. McCarthy. |
| title_fullStr | Casson's invariant for oriented homology 3-spheres : an exposition / by Selman Akbulut and John D. McCarthy. |
| title_full_unstemmed | Casson's invariant for oriented homology 3-spheres : an exposition / by Selman Akbulut and John D. McCarthy. |
| title_short | Casson's invariant for oriented homology 3-spheres : |
| title_sort | casson s invariant for oriented homology 3 spheres an exposition |
| title_sub | an exposition / |
| topic | Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Variétés topologiques à 3 dimensions. Invariants. MATHEMATICS Topology. bisacsh Invariants fast Three-manifolds (Topology) fast Mannigfaltigkeit gnd http://d-nb.info/gnd/4037379-4 Dimension 3 gnd http://d-nb.info/gnd/4321722-9 Invariantentheorie gnd http://d-nb.info/gnd/4162209-1 Homologie gnd http://d-nb.info/gnd/4141951-0 Topologia. larpcal Variedades de dimensão baixa. larpcal Variétés topologiques à 3 dimensions. ram Invariants. ram |
| topic_facet | Three-manifolds (Topology) Invariants. Variétés topologiques à 3 dimensions. MATHEMATICS Topology. Invariants Mannigfaltigkeit Dimension 3 Invariantentheorie Homologie Topologia. Variedades de dimensão baixa. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=791202 |
| work_keys_str_mv | AT akbulutselman cassonsinvariantfororientedhomology3spheresanexposition AT mccarthyjohnd cassonsinvariantfororientedhomology3spheresanexposition |