an irreducible heegaard diagram of the real
projective 3-space p3
;Young Ho Im;Soo Hwan Kim
structural engineering and mechanics2000Vol. 23pp. 123-129
187
im2000internationalan
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.