Generalized symplectic geometries and the index of families of elliptic problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1997
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| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
609 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 128, Number 609 (first of 4 numbers) |
| Beschreibung: | XII, 80 S. graph. Darst. |
| ISBN: | 0821806211 |
Internformat
MARC
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| 100 | 1 | |a Nicolaescu, Liviu I. |d 1964- |e Verfasser |0 (DE-588)124402887 |4 aut | |
| 245 | 1 | 0 | |a Generalized symplectic geometries and the index of families of elliptic problems |c Liviu I. Nicolaescu |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1997 | |
| 300 | |a XII, 80 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 609 | |
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Datensatz im Suchindex
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| adam_text | Contents
1 Algebraic preliminaries 1
§1.1 Clifford algebras 1
§1.2 Clifford modules 2
2 Topological preliminaries 5
§2.1 Karoubi s A M theory 5
§2.2 Some elementary examples 8
§2.3 Classifying spaces 9
3 (p,q) lagrangians and classifying spaces for K theory 12
§3.1 (p,q) lagrangian subspaces 12
§3.2 Graphs of linear operators and lagrangians 17
§3.3 The components of TZM 20
§3.4 The homotopy type of FC™ 22
4 Symplectic reductions 24
§4.1 Generalized symplectic geometries 24
§4.2 Homotopic properties of the symplectic reduction process 28
§4.3 The generalized Maslov index 30
§4.4 Comparison with the traditional Maslov index 34
5 Clifford symmetric Fredholm operators 35
§5.1 The space J™ 35
§5.2 Hamiltonian (p,q) modules 36
§5.3 The graph map and generalized Floer operators 38
§5.4 Examples , 43
6 Families of boundary value problems for Dirac operators 46
§6.1 (p.q) Dirac operators and their Calderon projections 46
§6.2 The index of families of boundary value problems 49
§6.3 The cobordism invariance of the families index 56
§6.4 Gluing formulas 60
A Gap convergence of linear operators 64
B Gap continuity of families of BVP s for Dirac operators 68
C Pseudodifferential Grassmanians and BVP s for Dirac operators 71
D The proof of Proposition 6.1 74
References 78
vii
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| any_adam_object | 1 |
| author | Nicolaescu, Liviu I. 1964- |
| author_GND | (DE-588)124402887 |
| author_facet | Nicolaescu, Liviu I. 1964- |
| author_role | aut |
| author_sort | Nicolaescu, Liviu I. 1964- |
| author_variant | l i n li lin |
| building | Verbundindex |
| bvnumber | BV011541899 |
| classification_rvk | SI 130 |
| classification_tum | MAT 587f |
| ctrlnum | (OCoLC)243869381 (DE-599)BVBBV011541899 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011541899 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:11:31Z |
| institution | BVB |
| isbn | 0821806211 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007769651 |
| oclc_num | 243869381 |
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| physical | XII, 80 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Nicolaescu, Liviu I. 1964- Verfasser (DE-588)124402887 aut Generalized symplectic geometries and the index of families of elliptic problems Liviu I. Nicolaescu Providence, RI American Mathematical Society 1997 XII, 80 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 609 Volume 128, Number 609 (first of 4 numbers) Indextheorem (DE-588)4140055-0 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Indextheorie (DE-588)4161489-6 gnd rswk-swf Dirac-Operator (DE-588)4150118-4 gnd rswk-swf Symplektische Mannigfaltigkeit (DE-588)4290704-4 s Differentialgeometrie (DE-588)4012248-7 s Indextheorie (DE-588)4161489-6 s DE-604 Elliptisches Randwertproblem (DE-588)4193399-0 s Dirac-Operator (DE-588)4150118-4 s Indextheorem (DE-588)4140055-0 s American Mathematical Society: Memoirs of the American Mathematical Society 609 (DE-604)BV008000141 609 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007769651&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nicolaescu, Liviu I. 1964- Generalized symplectic geometries and the index of families of elliptic problems American Mathematical Society: Memoirs of the American Mathematical Society Indextheorem (DE-588)4140055-0 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Indextheorie (DE-588)4161489-6 gnd Dirac-Operator (DE-588)4150118-4 gnd |
| subject_GND | (DE-588)4140055-0 (DE-588)4193399-0 (DE-588)4290704-4 (DE-588)4012248-7 (DE-588)4161489-6 (DE-588)4150118-4 |
| title | Generalized symplectic geometries and the index of families of elliptic problems |
| title_auth | Generalized symplectic geometries and the index of families of elliptic problems |
| title_exact_search | Generalized symplectic geometries and the index of families of elliptic problems |
| title_full | Generalized symplectic geometries and the index of families of elliptic problems Liviu I. Nicolaescu |
| title_fullStr | Generalized symplectic geometries and the index of families of elliptic problems Liviu I. Nicolaescu |
| title_full_unstemmed | Generalized symplectic geometries and the index of families of elliptic problems Liviu I. Nicolaescu |
| title_short | Generalized symplectic geometries and the index of families of elliptic problems |
| title_sort | generalized symplectic geometries and the index of families of elliptic problems |
| topic | Indextheorem (DE-588)4140055-0 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Indextheorie (DE-588)4161489-6 gnd Dirac-Operator (DE-588)4150118-4 gnd |
| topic_facet | Indextheorem Elliptisches Randwertproblem Symplektische Mannigfaltigkeit Differentialgeometrie Indextheorie Dirac-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007769651&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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