An irreducible Heegaard diagram of the real projective 3‐space p3

Abstract

We give a genus 3 Heegaard diagram H of the real projective space p3, which has no waves and pairs of complementary handles. So Negami′s result that every genus 2 Heegaard diagram of p3 is reducible cannot be extended to Heegaard diagrams of p3 with genus 3.