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arxiv: 1808.09971 · v1 · pith:AYNFV6PAnew · submitted 2018-08-29 · 🌀 gr-qc · math-ph· math.MP

Volume of 4-polytopes from bivectors

classification 🌀 gr-qc math-phmath.MP
keywords volumebivectorspolytopesarticlebivector-colouredboundarycrossingsdimensional
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In this article we prove a formula for the volume of 4-dimensional polytopes, in terms of their face bivectors, and the crossings within their boundary graph. This proves that the volume is an invariant of bivector-coloured graphs in $S^3$.

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