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  • Persson, Daniel,1978Chalmers tekniska högskola,Chalmers University of Technology (author)

Generalised Moonshine and Holomorphic Orbifolds

  • Article/chapterEnglish2015

Publisher, publication year, extent ...

  • Providence, Rhode Island :American Mathematical Society,2015

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  • LIBRIS-ID:oai:research.chalmers.se:b9bb3a2f-ae87-4634-9a91-87d92a1b6db7
  • ISBN:9780821894958
  • https://doi.org/10.1090/pspum/090/01520DOI
  • https://research.chalmers.se/publication/192460URI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype

Notes

  • Generalised moonshine is reviewed from the point of view of holomorphic orbifolds, putting special emphasis on the role of the third cohomology group H^3(G, U(1)) in characterising consistent constructions. These ideas are then applied to the case of Mathieu moonshine, i.e. the recently discovered connection between the largest Mathieu group M_24 and the elliptic genus of K3. In particular, we find a complete list of twisted twining genera whose modular properties are controlled by a class in H^3(M_24, U(1)), as expected from general orbifold considerations.

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  • Volpato, R. (author)
  • Gaberdiel, Matthias (author)
  • Chalmers tekniska högskola (creator_code:org_t)

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  • In:Proceedings of Symposia in Pure Mathematics - Conference on String-Math 2012Providence, Rhode Island : American Mathematical Society90, s. 73-862324-707X9780821894958

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