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Lagrangian Matroids and Cohomology

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Abstract.

We prove that \( \bigtriangleup \)-matroids associated with maps on compact closed surfaces are representable, with the space of representation provided by cohomology of the surface with punctured points.

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Authors and Affiliations

  1. Department of MathematicsUMIST, PO Box 88, Manchester M60 1QD, UK, e-mail: alexandre.borovik@umist.ac.uk and richard.booth@umist.ac.uk, , , , , , GB

    R.F. Booth & A.V. Borovik

  2. Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA, e-mail: igelfand@math.rutgers.edu, , , , , , US

    I.M. Gelfand

  3. Department of Mathematics, Brooklyn College, 2900 Bedford Avenue, Brooklyn, NY 11210-2889, USA, , , , , , US

    D.A. Stone

Authors
  1. R.F. Booth
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  2. A.V. Borovik
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  3. I.M. Gelfand
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  4. D.A. Stone
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Received March 15, 1999

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Booth, R., Borovik, A., Gelfand, I. et al. Lagrangian Matroids and Cohomology. Annals of Combinatorics 4, 171–182 (2000). https://doi.org/10.1007/s000260050004

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  • DOI: https://doi.org/10.1007/s000260050004

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