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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.06267 |
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| _version_ | 1866916725777235968 |
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| author | Serrano, Higinio Uribe, Bernardo Xicoténcatl, Miguel A. |
| author_facet | Serrano, Higinio Uribe, Bernardo Xicoténcatl, Miguel A. |
| contents | We present the fundamental properties of the K-theory groups of complex vector bundles endowed with actions of magnetic groups. In this work we show that the magnetic equivariant K-theory groups define an equivariant cohomology theory, we determine its coefficients, we show Bott's, Thom's and the degree shift isomorphism, we present the Atiyah-Hirzeburh spectral sequence, and we explicitly calculate two magnetic equivariant K-theory groups in order to showcase its applicability. These magnetic equivariant K-theory groups are relevant in condensed matter physics since they provide topological invariants of gapped Hamiltonians in magnetic crystals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06267 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic Equivariant K-theory Serrano, Higinio Uribe, Bernardo Xicoténcatl, Miguel A. K-Theory and Homology 19L47 We present the fundamental properties of the K-theory groups of complex vector bundles endowed with actions of magnetic groups. In this work we show that the magnetic equivariant K-theory groups define an equivariant cohomology theory, we determine its coefficients, we show Bott's, Thom's and the degree shift isomorphism, we present the Atiyah-Hirzeburh spectral sequence, and we explicitly calculate two magnetic equivariant K-theory groups in order to showcase its applicability. These magnetic equivariant K-theory groups are relevant in condensed matter physics since they provide topological invariants of gapped Hamiltonians in magnetic crystals. |
| title | Magnetic Equivariant K-theory |
| topic | K-Theory and Homology 19L47 |
| url | https://arxiv.org/abs/2503.06267 |