Quantitative K-Theory Related to Spin Chern Numbers
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Quantitative K-Theory Related to Spin Chern Numbers
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| Creator |
Loring, T.A.
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| Description |
We examine the various indices defined on pairs of almost commuting unitary matrices that can detect pairs that are far from commuting pairs. We do this in two symmetry classes, that of general unitary matrices and that of self-dual matrices, with an emphasis on quantitative results. We determine which values of the norm of the commutator guarantee that the indices are defined, where they are equal, and what quantitative results on the distance to a pair with a different index are possible. We validate a method of computing spin Chern numbers that was developed with Hastings and only conjectured to be correct. Specifically, the Pfaffian-Bott index can be computed by the ''log method'' for commutator norms up to a specific constant.
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| Date |
2019-02-10T09:58:49Z
2019-02-10T09:58:49Z 2014 |
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| Type |
Article
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| Identifier |
Quantitative K-Theory Related to Spin Chern Numbers / T.A. Loring // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 19M05; 46L60; 46L80 DOI:10.3842/SIGMA.2014.077 http://dspace.nbuv.gov.ua/handle/123456789/146609 |
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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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