Plugged-I-bundle conjecture for non-orientable Seifert fibred spaces

A non-flat non-orientable Seifert fibred space over RP2\mathbb{R}P^2 or Dˉ\bar{D} with two exceptional fibres is a Seifert fibred 3-manifold in the stated class, where Dˉ\bar{D} denotes the relevant disc base orbifold, and a minimal triangulation uses the fewest tetrahedra for its manifold. A plugged thin II-bundle and a plugged thick II-bundle are the two specified triangulation types. Plugged-I-bundle conjecture. Every minimal triangulation of such a Seifert fibred space is either a plugged thin II-bundle or a plugged thick II-bundle. This is a structural conjecture concerning minimal triangulations of a particular class of non-orientable Seifert fibred spaces; the supplied source does not report a resolution.

Sources & referencesView supporting material

Primary source

Benjamin A. Burton, “Detecting genus in vertex links for the fast enumeration of 3-manifold triangulations”, arXiv:1101.3091 (2011).

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