E-mail
bhupal@metu.edu.tr
Department
Department of Mathematics
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 Mil...
On the monodromy of Milnor open books
ALTINOK BHUPAL, SELMA; Bhupal, Mohan Lal (The Scientific and Technological Research Council of Turkey, 2018-01-01)
We present some techniques that can be used to factorize the monodromy of certain Milnor open books. We also describe a class of Milnor open books for which we can explicitly express the monodromy as a product of Dehn twists.
SYMPLECTIC FILLINGS OF LINKS OF QUOTIENT SURFACE SINGULARITIES – CORRIGENDUM
Bhupal, Mohan Lal; Ono, Kaoru (2017-03-01)
We study symplectic deformation types of minimal symplectic fillings of links of quotient surface singularities. In particular, there are only finitely many symplectic deformation types for each quotient surface singularity.
Symplectic fillings of lens spaces as Lefschetz fibrations
Bhupal, Mohan Lal; ÖZBAĞCI, BURAK (European Mathematical Society Publishing House, 2016-01-01)
We construct a positive allowable Lefschetz fibration over the disk on any minimal (weak) symplectic filling of the canonical contact structure on a lens space. Using this construction we prove that any minimal symplectic ...
Canonical contact structures on some singularity links
Bhupal, Mohan Lal; ÖZBAĞCI, BURAK (Wiley, 2014-06-01)
We identify the canonical contact structure on the link of a simple elliptic or cusp singularity by drawing a Legendrian handlebody diagram of one of its Stein fillings. We also show that the canonical contact structure on...
SMOOTHINGS OF SINGULARITIES AND SYMPLECTIC TOPOLOGY
Bhupal, Mohan Lal; Stipsicz, Andras I. (2013-01-01)
We review the symplectic methods which have been applied in the classification of weighted homogeneous singularities with rational homology disk (QHD) smoothings. We also review the construction of such smoothings and show...
SYMPLECTIC FILLINGS OF LINKS OF QUOTIENT SURFACE SINGULARITIES
Bhupal, Mohan Lal; Ono, Kaoru (2012-09-01)
We study symplectic deformation types of minimal symplectic fillings of links of quotient surface singularities. In particular, there are only finitely many symplectic deformation types for each quotient surface singularity.
MILNOR OPEN BOOKS OF LINKS OF SOME RATIONAL SURFACE SINGULARITIES
Bhupal, Mohan Lal; ÖZBAĞCI, BURAK (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 f...
WEIGHTED HOMOGENEOUS SINGULARITIES AND RATIONAL HOMOLOGY DISK SMOOTHINGS
Bhupal, Mohan Lal; Stipsicz, Andras I. (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,...
OPEN BOOK DECOMPOSITIONS OF LINKS OF SIMPLE SURFACE SINGULARITIES
Bhupal, Mohan Lal (2009-12-01)
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.
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