Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
OPEN BOOK DECOMPOSITIONS OF LINKS OF SIMPLE SURFACE SINGULARITIES
Date
2009-12-01
Author
Bhupal, Mohan Lal
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
286
views
0
downloads
Cite This
We describe open book decompositions of links of simple surface singularities that support the corresponding unique Milnor fillable contact structures. The open books we describe are isotopic to Milnor open books.
Subject Keywords
Contact structures
,
Milnor fillable
,
Singularity links
,
Simple singularities
,
Open book decompositions
,
Monodromy
URI
https://hdl.handle.net/11511/33092
Journal
INTERNATIONAL JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.1142/s0129167x09005868
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Open book decompositions of links of quotient surface singularities
Yılmaz, Elif; Korkmaz, Mustafa; Department of Mathematics (2009)
In this thesis, we write explicitly the open book decompositions of links of quotient surface singularities that support the corresponding unique Milnor fillable contact structures. The page-genus of these Milnor open books are minimal among all Milnor open books supporting the corresponding unique Milnor fillable contact structures. That minimal page-genus is called Milnor genus. In this thesis we also investigate whether the Milnor genus is equal to the support genus for links of quotient surface singular...
MILNOR OPEN BOOKS OF LINKS OF SOME RATIONAL SURFACE SINGULARITIES
Bhupal, Mohan Lal (2011-11-01)
We determine Legendrian surgery diagrams for the canonical contact structures of links of rational surface singularities that are also small Seifert fibered 3-manifolds. Moreover, we describe an infinite family of Milnor fillable contact 3-manifolds so that, for each member of this family, the Milnor genus and Milnor norm are strictly greater than the support genus and support norm of the canonical contact structure. For some of these contact structures we construct supporting Milnor open books.
Open books decompositions of links of minimally elliptic singularities
Bhupal, Mohan Lal (2021-02-01)
We present an explicit Milnor open book decomposition supporting the canonical contact structure on the link of each minimally elliptic singularity whose fundamental cycle Z satisfies -3 <= Z center dot Z <=-1. For the Milnor open books whose pages have genus less than three, we give a factorization of the monodromy which does not involve any left-handed Dehn twists around interior curves. Necessary results regarding the roots of reducible, and irreducible elements in mapping class groups are proved, and so...
Planar Contact Structures with Binding Number Three
Arıkan, Mehmet Fırat (2007-01-01)
In this article, we find the complete list of all contact structures (up to isotopy) on closed three-manifolds which are supported by an open book decomposition having planar pages with three (but not less) boundary components. We distinguish them by computing their first Chern classes and three dimensional invariants (whenever possible). Among these contact structures we also distinguish tight ones from those which are overtwisted
WEIGHTED HOMOGENEOUS SINGULARITIES AND RATIONAL HOMOLOGY DISK SMOOTHINGS
Bhupal, Mohan Lal (2011-10-01)
We classify the resolution graphs of weighted homogeneous surface singularities which admit rational homology disk smoothings. The nonexistence of rational homology disk smoothings is shown by symplectic geometric methods, while the existence is verified via smoothings of negative weight.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. L. Bhupal, “OPEN BOOK DECOMPOSITIONS OF LINKS OF SIMPLE SURFACE SINGULARITIES,”
INTERNATIONAL JOURNAL OF MATHEMATICS
, pp. 1527–1545, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33092.