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Partial duality of hypermaps
Chmutov, Sergei...
Partial duality of hypermaps by Chmutov, Sergei ( Author )
Australian National University
04-08-2023
We introduce partial duality of hypermaps, which include the classical Euler-Poincar\'e duality as a particular case. Combinatorially, hypermaps may be described in one of three ways: as three involutions on the set of flags (bi-rotation system or $\tau$-model), or as three permutations on the set of half-edges (rotation system or $\sigma$-model in orientable case), or as edge 3-coloured graphs. We express partial duality in each of these models. We give a formula for the genus change under partial duality.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1409.0632
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