Boundary measurement and sign variation in real projective space

  • John Machacek

    York University, Toronto, Canada
Boundary measurement and sign variation in real projective space cover
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Abstract

We define two generalizations of the totally nonnegative Grassmannian and determine their topology in the case of real projective space.We find the spaces to be PL manifolds with boundary which are homotopy equivalent to another real projective space of smaller dimension. One generalization makes use of sign variation while the other uses boundary measurement. Spaces arising from boundary measurement are shown to admit Cohen–Macaulay triangulations.

Cite this article

John Machacek, Boundary measurement and sign variation in real projective space. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 9 (2022), no. 3, pp. 543–565

DOI 10.4171/AIHPD/125