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- W2897210869 abstract "The aim of this paper is to give a (discrete) Morse theoretic proof of the fact that the $k$-th skeleton of the flag complex $mathcal{F}$, associated to the lattice of subspaces of a finite dimensional vector space, is homotopy equivalent to a wedge of spheres of dimension $min{k,dim(mathcal{F})}$. The tight control provided by Morse theoretic methods allows us to give an explicit formula for the number of spheres appearing in each of these wedge summands." @default.
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- W2897210869 date "2018-10-09" @default.
- W2897210869 modified "2023-10-18" @default.
- W2897210869 title "The homotopy type of skeleta of the flag complex over a finite vector space" @default.
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