Hyperfield Grassmannians
Combinatorics
2018-11-06 v2 Algebraic Geometry
Algebraic Topology
Geometric Topology
Abstract
In a recent paper Baker and Bowler introduced matroids over hyperfields, offering a common generalization of matroids, oriented matroids, and linear subspaces of based vector spaces. This paper introduces the notion of a topological hyperfield and explores the generalization of Grassmannians and realization spaces to this context, particularly in relating the (hyper)fields R and C to hyperfields arising in matroid theory and in tropical geometry.
Keywords
Cite
@article{arxiv.1710.00016,
title = {Hyperfield Grassmannians},
author = {James F. Davis and Laura Anderson},
journal= {arXiv preprint arXiv:1710.00016},
year = {2018}
}
Comments
31 pages. Final version