A note on irreducible Heegaard diagrams
We construct a Heegaard diagram of genus three for the real projective 3-space, which has no waves and pairs of complementary handles. The first example was given by Im and Kim but our diagram has smaller complexity. Furthermore the proof presented here is quite different to that of the quoted autho...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/53135 |
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| _version_ | 1832555388466102272 |
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| author | Alberto Cavicchioli Fulvia Spaggiari |
| author_facet | Alberto Cavicchioli Fulvia Spaggiari |
| author_sort | Alberto Cavicchioli |
| collection | DOAJ |
| description | We construct a Heegaard diagram of genus three for the real
projective 3-space, which has no waves and pairs of complementary
handles. The first example was given by Im and Kim but our diagram
has smaller complexity. Furthermore the proof presented here is
quite different to that of the quoted authors, and permits also to
obtain a simple alternative proof of their result. Examples of
irreducible Heegaard diagrams of certain connected sums complete
the paper. |
| format | Article |
| id | doaj-art-ab997ad2f9174d12836036e78382e440 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ab997ad2f9174d12836036e78382e4402025-02-03T05:48:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5313553135A note on irreducible Heegaard diagramsAlberto Cavicchioli0Fulvia Spaggiari1Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, Modena 41100, ItalyDipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, Modena 41100, ItalyWe construct a Heegaard diagram of genus three for the real projective 3-space, which has no waves and pairs of complementary handles. The first example was given by Im and Kim but our diagram has smaller complexity. Furthermore the proof presented here is quite different to that of the quoted authors, and permits also to obtain a simple alternative proof of their result. Examples of irreducible Heegaard diagrams of certain connected sums complete the paper.http://dx.doi.org/10.1155/IJMMS/2006/53135 |
| spellingShingle | Alberto Cavicchioli Fulvia Spaggiari A note on irreducible Heegaard diagrams International Journal of Mathematics and Mathematical Sciences |
| title | A note on irreducible Heegaard diagrams |
| title_full | A note on irreducible Heegaard diagrams |
| title_fullStr | A note on irreducible Heegaard diagrams |
| title_full_unstemmed | A note on irreducible Heegaard diagrams |
| title_short | A note on irreducible Heegaard diagrams |
| title_sort | note on irreducible heegaard diagrams |
| url | http://dx.doi.org/10.1155/IJMMS/2006/53135 |
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