Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
In this paper we extend our correlation functions to the open/closed case. This gives rise to actions of an open/closed version of the Sullivan PROP as well as an action of the relevant moduli space. There are several unexpected structures and conditions that arise in this extension which are forced...
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| Дата: | 2010 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146354 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions / R.M. Kaufmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 21 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1463542019-02-10T01:23:23Z Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions Kaufmann, R.M. In this paper we extend our correlation functions to the open/closed case. This gives rise to actions of an open/closed version of the Sullivan PROP as well as an action of the relevant moduli space. There are several unexpected structures and conditions that arise in this extension which are forced upon us by considering the open sector. For string topology type operations, one cannot just consider graphs, but has to take punctures into account and one has to restrict the underlying Frobenius algebras. In the moduli space, one first has to pass to a smaller moduli space which is closed under open/closed duality and then consider covers in order to account for the punctures. 2010 Article Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions / R.M. Kaufmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 55P48; 81T30; 57R30; 16E40; 55P50 DOI:10.3842/SIGMA.2010.036 http://dspace.nbuv.gov.ua/handle/123456789/146354 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 |
In this paper we extend our correlation functions to the open/closed case. This gives rise to actions of an open/closed version of the Sullivan PROP as well as an action of the relevant moduli space. There are several unexpected structures and conditions that arise in this extension which are forced upon us by considering the open sector. For string topology type operations, one cannot just consider graphs, but has to take punctures into account and one has to restrict the underlying Frobenius algebras. In the moduli space, one first has to pass to a smaller moduli space which is closed under open/closed duality and then consider covers in order to account for the punctures. |
| format |
Article |
| author |
Kaufmann, R.M. |
| spellingShingle |
Kaufmann, R.M. Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kaufmann, R.M. |
| author_sort |
Kaufmann, R.M. |
| title |
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions |
| title_short |
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions |
| title_full |
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions |
| title_fullStr |
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions |
| title_full_unstemmed |
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions |
| title_sort |
open/closed string topology and moduli space actions via open/closed hochschild actions |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146354 |
| citation_txt |
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions / R.M. Kaufmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 21 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kaufmannrm openclosedstringtopologyandmodulispaceactionsviaopenclosedhochschildactions |
| first_indexed |
2023-05-20T17:24:19Z |
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2023-05-20T17:24:19Z |
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1796153216933560320 |