L2-kernels of Dirac-type operators on monopole moduli spaces

Gregory W. Moore, Andrew Royston, Dieter Van den Bleeken

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We state some mathematical predictions concerning the kernels of Dirac-type operators on moduli spaces of (singular) monopoles in R3. These predictions follow from the semiclassical interpretation of physical results on spaces of (framed) BPS states in d=4, N=2 gauge theories.

Original languageEnglish (US)
Title of host publicationproceedings of the conference String-Math, 2015
EditorsWei Song, Bong H. Lian, Si Li, Shing-Tung Yau
PublisherAmerican Mathematical Society
Pages169-182
Number of pages14
ISBN (Electronic)9781470442767
ISBN (Print)9781470429515
DOIs
StatePublished - Jan 1 2017
Eventproceedings of the conference String-Math, 2015 - Sanya, China
Duration: Dec 31 2015Jan 4 2016

Publication series

NameProceedings of Symposia in Pure Mathematics
Volume96
ISSN (Print)0082-0717

Conference

Conferenceproceedings of the conference String-Math, 2015
CountryChina
CitySanya
Period12/31/151/4/16

Fingerprint

Monopole
Moduli Space
Paul Adrien Maurice Dirac
kernel
Prediction
Operator
Gauge Theory
Interpretation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Moore, G. W., Royston, A., & Van den Bleeken, D. (2017). L2-kernels of Dirac-type operators on monopole moduli spaces. In W. Song, B. H. Lian, S. Li, & S-T. Yau (Eds.), proceedings of the conference String-Math, 2015 (pp. 169-182). (Proceedings of Symposia in Pure Mathematics; Vol. 96). American Mathematical Society. https://doi.org/10.1090/pspum/096/01652
Moore, Gregory W. ; Royston, Andrew ; Van den Bleeken, Dieter. / L2-kernels of Dirac-type operators on monopole moduli spaces. proceedings of the conference String-Math, 2015. editor / Wei Song ; Bong H. Lian ; Si Li ; Shing-Tung Yau. American Mathematical Society, 2017. pp. 169-182 (Proceedings of Symposia in Pure Mathematics).
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Moore, GW, Royston, A & Van den Bleeken, D 2017, L2-kernels of Dirac-type operators on monopole moduli spaces. in W Song, BH Lian, S Li & S-T Yau (eds), proceedings of the conference String-Math, 2015. Proceedings of Symposia in Pure Mathematics, vol. 96, American Mathematical Society, pp. 169-182, proceedings of the conference String-Math, 2015, Sanya, China, 12/31/15. https://doi.org/10.1090/pspum/096/01652

L2-kernels of Dirac-type operators on monopole moduli spaces. / Moore, Gregory W.; Royston, Andrew; Van den Bleeken, Dieter.

proceedings of the conference String-Math, 2015. ed. / Wei Song; Bong H. Lian; Si Li; Shing-Tung Yau. American Mathematical Society, 2017. p. 169-182 (Proceedings of Symposia in Pure Mathematics; Vol. 96).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Moore GW, Royston A, Van den Bleeken D. L2-kernels of Dirac-type operators on monopole moduli spaces. In Song W, Lian BH, Li S, Yau S-T, editors, proceedings of the conference String-Math, 2015. American Mathematical Society. 2017. p. 169-182. (Proceedings of Symposia in Pure Mathematics). https://doi.org/10.1090/pspum/096/01652