Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
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| Creator |
Kaufmann, R.M.
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| 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.
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| Date |
2019-02-09T09:26:34Z
2019-02-09T09:26:34Z 2010 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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