Study on Chohomology of supermanifolds
In this present paper de Rham cohomology of graded manifolds, cohomology of graded differential forms and cohomology of DeWitt supermanifolds are studied. The structure of a G-supermanifold in general is not acyclic. So, the cohomology is defined via the complex of graded differential forms. This si...
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| Formato: | Artigo |
| Idioma: | English |
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BRAC University
2010
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| Acceso en liña: | http://hdl.handle.net/10361/551 |
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10361-551 |
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10361-5512019-09-29T05:46:32Z Study on Chohomology of supermanifolds Ahmed, M. Khondokar Manifolds Chohomology Supermanifolds In this present paper de Rham cohomology of graded manifolds, cohomology of graded differential forms and cohomology of DeWitt supermanifolds are studied. The structure of a G-supermanifold in general is not acyclic. So, the cohomology is defined via the complex of graded differential forms. This situation is investigated together with the graded Dolbeault cohomology of complex G-supermanifolds. A theorem is established that the structure sheaf of any DeWitt G-supermanifold is acyclic. 2010-10-18T08:59:38Z 2010-10-18T08:59:38Z 2006 Article http://hdl.handle.net/10361/551 en BRAC University Journal, BRAC University;Vol.3. No. 1, pp.59-63 application/pdf BRAC University |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Manifolds Chohomology Supermanifolds |
| spellingShingle |
Manifolds Chohomology Supermanifolds Ahmed, M. Khondokar Study on Chohomology of supermanifolds |
| description |
In this present paper de Rham cohomology of graded manifolds, cohomology of graded differential forms and cohomology of DeWitt supermanifolds are studied. The structure of a G-supermanifold in general is not acyclic. So, the cohomology is defined via the complex of graded differential forms. This situation is investigated together with the graded Dolbeault cohomology of complex G-supermanifolds. A theorem is established that the structure sheaf of any DeWitt G-supermanifold is acyclic. |
| format |
Article |
| author |
Ahmed, M. Khondokar |
| author_facet |
Ahmed, M. Khondokar |
| author_sort |
Ahmed, M. Khondokar |
| title |
Study on Chohomology of supermanifolds |
| title_short |
Study on Chohomology of supermanifolds |
| title_full |
Study on Chohomology of supermanifolds |
| title_fullStr |
Study on Chohomology of supermanifolds |
| title_full_unstemmed |
Study on Chohomology of supermanifolds |
| title_sort |
study on chohomology of supermanifolds |
| publisher |
BRAC University |
| publishDate |
2010 |
| url |
http://hdl.handle.net/10361/551 |
| work_keys_str_mv |
AT ahmedmkhondokar studyonchohomologyofsupermanifolds |
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1814308191001903104 |