Lagrangian matroids and cohomology
type: Item
instance of: scholarly article
title: Lagrangian matroids and cohomology
zbMATH Open document ID: 0956.05028
author: Richard Booth
author: Alexandre V. Borovik
author: D. A. Stone
author: I. M. Gel'fand
published in: Annals of Combinatorics
publication date: 2000-11-23T00:00:00Z
review text: The authors prove that \(\Delta\)-matroids associated with maps on compact closed surfaces are representable, with the space of representation provided by cohomology of the surface with punctured points. In particular, the main theorem states: Let \(X\) be a map with \(n\) edges on an orientable compact closed surface \(S\). Then all bases of \(X\) have cardinality \(n\) and the set of all bases is an orthogonally representable over \(\mathbb{Q}\), orthogonal Lagrangian matroid.
reviewed by: Ferenc Fodor
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 1491019
zbMATH Keywords: \(\Delta\)-matroid
zbMATH Keywords: Lagrangian symplectic matroid
zbMATH Keywords: cohomology
zbMATH Keywords: CW-complex
MaRDI profile type: Publication
full work available at URL: s000260050004
OpenAlex ID: W2010399941
DOI: 10.1007/S000260050004
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description: scientific article; zbMATH DE number 1491019