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Lagrangian Matroids and Cohomology

Authors:	RF Booth AV Borovik IM Gelfand DA Stone

Institution:	Department of MathematicsUMIST, PO Box 88, Manchester M60 1QD, UK, e-mail: alexandre.borovik@umist.ac.uk and richard.booth@umist.ac.uk, GB Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA, e-mail: igelfand@math.rutgers.edu, US Department of Mathematics, Brooklyn College, 2900 Bedford Avenue, Brooklyn, NY 11210-2889, USA, US

Abstract:	We prove that \bigtriangleup \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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