Avetisyan, Z;
Fang, Y-L;
Saveliev, N;
Vassiliev, D;
(2017)
Analytic definition of spin structure.
Journal of Mathematical Physics
, 58
, Article 082301. 10.1063/1.4995952.
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Abstract
We work on a parallelizable time-orientable Lorentzian 4-manifold and prove that in this case the notion of spin structure can be equivalently defined in a purely analytic fashion. Our analytic definition relies on the use of the concept of a non-degenerate two-by-two formally self-adjoint first order linear differential operator and gauge transformations of such operators. We also give an analytic definition of spin structure for the 3-dimensional Riemannian case.
Type: | Article |
---|---|
Title: | Analytic definition of spin structure |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1063/1.4995952 |
Publisher version: | http://dx.doi.org/10.1063/1.4995952 |
Language: | English |
Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
Keywords: | Riemannian manifolds, Algebraic topology, Operator theory, Gauge field theory, Theory of relativity |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
URI: | https://discovery.ucl.ac.uk/id/eprint/1531510 |
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