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Non-Abelian Resonance: Product and Coproduct Formulas

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Bridging Algebra, Geometry, and Topology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 96))

Abstract

We investigate the resonance varieties attached to a commutative differential graded algebra and to a representation of a Lie algebra, with emphasis on how these varieties behave under finite products and coproducts.

Partially supported by the Romanian Ministry of National Education, CNCS-UEFISCDI, grant PNII-ID-PCE-2012-4-0156

Partially supported by NSF grant DMS–1010298 and NSA grant H98230-13-1-0225

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References

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Acknowledgements

This work was started while the two authors visited the Max Planck Institute for Mathematics in Bonn in April–May 2012. The work was pursued while the second author visited the Institute of Mathematics of the Romanian Academy in June 2012 and June 2013, and MPIM Bonn in September–October 2013. Thanks are due to both institutions for their hospitality, support, and excellent research atmosphere.

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Authors and Affiliations

  1. Simion Stoilow Institute of Mathematics, 1-764, RO-014700, Bucharest, Romania

    Ştefan Papadima

  2. Department of Mathematics, Northeastern University, Boston, MA, 02115, USA

    Alexander I. Suciu

Authors
  1. Ştefan Papadima
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  2. Alexander I. Suciu
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Corresponding author

Correspondence to Alexander I. Suciu .

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Editors and Affiliations

  1. Faculty of Mathematics and Informatics, Ovidius University, Constanta, Constanta, Romania

    Denis Ibadula

  2. Department of Mathematics, University of Leuven, Leuven (Heverlee), Belgium

    Willem Veys

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Papadima, Ş., Suciu, A.I. (2014). Non-Abelian Resonance: Product and Coproduct Formulas. In: Ibadula, D., Veys, W. (eds) Bridging Algebra, Geometry, and Topology. Springer Proceedings in Mathematics & Statistics, vol 96. Springer, Cham. https://doi.org/10.1007/978-3-319-09186-0_17

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