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- W3035531708 abstract "Abstract The equivariant Heegaard genus of a 3-manifold W with the action of a finite group G of diffeomorphisms is the smallest genus of an equivariant Heegaard splitting for W . Although a Heegaard splitting of a reducible manifold is reducible and although if W is reducible, there is an equivariant essential sphere, we show that equivariant Heegaard genus may be super-additive, additive, or sub-additive under equivariant connected sum. Using a thin position theory for 3-dimensional orbifolds, we establish sharp bounds on the equivariant Heegaard genus of reducible manifolds, similar to those known for tunnel number. Along the way, we make use of a new invariant for W which is much better behaved under equivariant sums." @default.
- W3035531708 created "2020-06-19" @default.
- W3035531708 creator A5031724819 @default.
- W3035531708 date "2023-02-13" @default.
- W3035531708 modified "2023-09-25" @default.
- W3035531708 title "Equivariant Heegaard genus of reducible 3-manifolds" @default.
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- W3035531708 doi "https://doi.org/10.1017/s0305004123000038" @default.
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