Deligne-Beilinson Cohomology and Abelian Link Invariants
For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit path-integral non-perturbative computation of...
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| Дата: | 2008 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148999 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Deligne-Beilinson Cohomology and Abelian Link Invariants / E. Guadagnini, F. Thuillier // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 41 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
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irk-123456789-1489992019-02-20T01:24:34Z Deligne-Beilinson Cohomology and Abelian Link Invariants Guadagnini, E. Thuillier, F. For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit path-integral non-perturbative computation of the Chern-Simons link invariants in the case of the torsion-free 3-manifolds S³, S¹ × S² and S¹ × Σg. 2008 Article Deligne-Beilinson Cohomology and Abelian Link Invariants / E. Guadagnini, F. Thuillier // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 41 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T70; 14F43; 57M27 http://dspace.nbuv.gov.ua/handle/123456789/148999 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit path-integral non-perturbative computation of the Chern-Simons link invariants in the case of the torsion-free 3-manifolds S³, S¹ × S² and S¹ × Σg. |
| format |
Article |
| author |
Guadagnini, E. Thuillier, F. |
| spellingShingle |
Guadagnini, E. Thuillier, F. Deligne-Beilinson Cohomology and Abelian Link Invariants Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Guadagnini, E. Thuillier, F. |
| author_sort |
Guadagnini, E. |
| title |
Deligne-Beilinson Cohomology and Abelian Link Invariants |
| title_short |
Deligne-Beilinson Cohomology and Abelian Link Invariants |
| title_full |
Deligne-Beilinson Cohomology and Abelian Link Invariants |
| title_fullStr |
Deligne-Beilinson Cohomology and Abelian Link Invariants |
| title_full_unstemmed |
Deligne-Beilinson Cohomology and Abelian Link Invariants |
| title_sort |
deligne-beilinson cohomology and abelian link invariants |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148999 |
| citation_txt |
Deligne-Beilinson Cohomology and Abelian Link Invariants / E. Guadagnini, F. Thuillier // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 41 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT guadagninie delignebeilinsoncohomologyandabelianlinkinvariants AT thuillierf delignebeilinsoncohomologyandabelianlinkinvariants |
| first_indexed |
2023-05-20T17:31:36Z |
| last_indexed |
2023-05-20T17:31:36Z |
| _version_ |
1796153492242432000 |