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

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.

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Bibliographic Details
Published inInternational journal of mathematics and mathematical sciences Vol. 23; no. 2; pp. 123 - 129
Main Authors Im, Young Ho, Kim, Soo Hwan
Format Journal Article
LanguageEnglish
Published Wiley 01.01.2000
Subjects
crystallization
Heegaard diagram
wave move
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171200000430