Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3
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| Creator |
Korepanov, I.G.
Sadykov, N.M. |
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| Description |
We consider relations in Grassmann algebra corresponding to the four-dimensional Pachner move 3-3, assuming that there is just one Grassmann variable on each 3-face, and a 4-simplex weight is a Grassmann-Gaussian exponent depending on these variables on its five 3-faces. We show that there exists a large family of such relations; the problem is in finding their algebraic-topologically meaningful parameterization. We solve this problem in part, providing two nicely parameterized subfamilies of such relations. For the second of them, we further investigate the nature of some of its parameters: they turn out to correspond to an exotic analogue of middle homologies. In passing, we also provide the 2-4 Pachner move relation for this second case.
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| Date |
2019-02-21T07:06:26Z
2019-02-21T07:06:26Z 2013 |
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| Type |
Article
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| Identifier |
Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3 / I.G. Korepanov, N.M. Sadykov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 13 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 15A75; 57Q99; 57R56 DOI: http://dx.doi.org/10.3842/SIGMA.2013.053 http://dspace.nbuv.gov.ua/handle/123456789/149347 |
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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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