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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148999 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| _version_ | 1862590332575678464 |
|---|---|
| author | Guadagnini, E. Thuillier, F. |
| author_facet | Guadagnini, E. Thuillier, F. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-27T04:31:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148999 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T04:31:27Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Guadagnini, E. Thuillier, F. 2019-02-19T12:51:47Z 2019-02-19T12:51:47Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/148999 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. We wish to thank Raymond Stora for useful discussions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Deligne-Beilinson Cohomology and Abelian Link Invariants Article published earlier |
| spellingShingle | Deligne-Beilinson Cohomology and Abelian Link Invariants Guadagnini, E. Thuillier, F. |
| title | 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_short | Deligne-Beilinson Cohomology and Abelian Link Invariants |
| title_sort | deligne-beilinson cohomology and abelian link invariants |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148999 |
| work_keys_str_mv | AT guadagninie delignebeilinsoncohomologyandabelianlinkinvariants AT thuillierf delignebeilinsoncohomologyandabelianlinkinvariants |