| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
28 March 2024 |
|
| | | |
|
Article overview
| |
|
On open books for nonorientable 3-manifolds | Burak Ozbagci
; | Date: |
17 Apr 2020 | Abstract: | We show that the monodromy of Klassen’s genus two open book for $P^2 imes
S^1$ is the $Y$-homeomorphism of Lickorish, which is also known as the crosscap
slide. Similarly, we show that $S^2 widetilde{ imes} S^1$ admits a genus two
open book whose monodromy is the crosscap transposition. Moreover, we show that
each of $P^2 imes S^1$ and $S^2 widetilde{ imes} S^1$ admits infinitely
many isomorphic genus two open books whose monodromies are mutually
nonisotopic. Furthermore, we include a simple observation about the stable
equivalence classes of open books for $P^2 imes S^1$ and $S^2
widetilde{ imes} S^1$. Finally, we formulate a version of Gabai’s theorem
about the Murasugi sum of open books, without imposing any orientability
assumption on the pages. | Source: | arXiv, 2004.8173 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |