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Article: On the Mathai-Quillen formalism of topological sigma models
| Title | On the Mathai-Quillen formalism of topological sigma models |
|---|---|
| Authors | |
| Keywords | Mathai-Quillen Formalism Pseudo-Holomorphic Curves Topological Field Theory |
| Issue Date | 1995 |
| Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/geomphys |
| Citation | Journal Of Geometry And Physics, 1995, v. 17 n. 4, p. 299-309 How to Cite? |
| Abstract | We present a Mathai-Quillen interpretation of topological sigma models. The key to the construction is a natural connection in a suitable infinite-dimensional vector bundle over the space of maps from a Riemann surface (the world sheet) to an almost complex manifold (the target). We show that the covariant derivative of the section defined by the differential that appears in the equation for pseudo-holomorphic curves is precisely the linearization of the operator itself. We also discuss the Mathai-Quillen formalism of gauged topological sigma models. © 1995. |
| Persistent Identifier | http://hdl.handle.net/10722/156121 |
| ISSN | 2023 Impact Factor: 1.6 2023 SCImago Journal Rankings: 0.617 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Wu, S | en_US |
| dc.date.accessioned | 2012-08-08T08:40:29Z | - |
| dc.date.available | 2012-08-08T08:40:29Z | - |
| dc.date.issued | 1995 | en_US |
| dc.identifier.citation | Journal Of Geometry And Physics, 1995, v. 17 n. 4, p. 299-309 | en_US |
| dc.identifier.issn | 0393-0440 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/156121 | - |
| dc.description.abstract | We present a Mathai-Quillen interpretation of topological sigma models. The key to the construction is a natural connection in a suitable infinite-dimensional vector bundle over the space of maps from a Riemann surface (the world sheet) to an almost complex manifold (the target). We show that the covariant derivative of the section defined by the differential that appears in the equation for pseudo-holomorphic curves is precisely the linearization of the operator itself. We also discuss the Mathai-Quillen formalism of gauged topological sigma models. © 1995. | en_US |
| dc.language | eng | en_US |
| dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/geomphys | en_US |
| dc.relation.ispartof | Journal of Geometry and Physics | en_US |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | Mathai-Quillen Formalism | en_US |
| dc.subject | Pseudo-Holomorphic Curves | en_US |
| dc.subject | Topological Field Theory | en_US |
| dc.title | On the Mathai-Quillen formalism of topological sigma models | en_US |
| dc.type | Article | en_US |
| dc.identifier.email | Wu, S:swu@maths.hku.hk | en_US |
| dc.identifier.authority | Wu, S=rp00814 | en_US |
| dc.description.nature | postprint | en_US |
| dc.identifier.doi | 10.1016/0393-0440(94)00046-8 | - |
| dc.identifier.scopus | eid_2-s2.0-0542445752 | en_US |
| dc.identifier.volume | 17 | en_US |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.spage | 299 | en_US |
| dc.identifier.epage | 309 | en_US |
| dc.identifier.isi | WOS:A1995TL50100001 | - |
| dc.publisher.place | Netherlands | en_US |
| dc.identifier.scopusauthorid | Wu, S=15830510400 | en_US |
| dc.identifier.issnl | 0393-0440 | - |