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T < 4E

  • Karim Adiprasito (Mathematisches Institut, Universität Leipzig)
A3 01 (Sophus-Lie room)

Abstract

We prove the Gruenbaum conjecture, i.e. for a 2-dimensional simplicial complex embedding in $R^4$ on T triangles and E edges, we have $T < 4E$.

We also extend this to higher dimensions and manifolds. The provided bounds are tight. The methods are perhaps surprisingly, not topological.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail