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An irreducible Heegaard diagram of the real projective 3-space \(P^3\). (English) Zbl 0963.57008

Results of S. Negami [Osaka J. Math. 21, No. 3, 477-487 (1984; Zbl 0561.57004)] and of S. Negami and K. Okita [Trans. Am. Math. Soc. 289, No. 1, 253-280 (1985; Zbl 0534.57002)] showed every genus 2 Heegaard diagram of \(P^3\) is reducible (by wave moves). The authors show by example that this result cannot be extended to genus 3.

MSC:

57M50 General geometric structures on low-dimensional manifolds
57M15 Relations of low-dimensional topology with graph theory
57N10 Topology of general \(3\)-manifolds (MSC2010)
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