5 citations · 13 across the 11 of their papers we have counts for
12 papers
Every cusp singularity link admits infinitely many strong symplectic fillings
Naohiko Kasuya, Takahiro Oba
In this paper, we show that if the link of an isolated complex surface singularity is either a -manifold or an -manifold with its canonical con…
Classification of orientable torus bundles over closed orientable surfaces
Naohiko Kasuya, Issei Noda
Let be a non-negative integer, a closed orientable surface of genus , and its mapping class group. We classify all the group homomorphisms $π_1(Σ_g)\to…
Lefschetz fibrations on the Milnor fibers of cusp and simple elliptic singularities
Naohiko Kasuya, Hiroki Kodama, Yoshihiko Mitsumatsu +1
We show that the total space of the Milnor fibration associated with any cusp or simple elliptic singularity in complex three variables admits an -parametric genus-one Lefsche…
On the strongly pseudoconcave boundary of a compact complex surface
Naohiko Kasuya, Daniele Zuddas
We establish the method of holomorphic handle attaching to the strongly pseudoconcave boundary of a complex surface. We use this for proving the following statements: (1) every clo…
CR regular embeddings of in
Naohiko Kasuya
Ahern and Rudin have given an explicit construction of a totally real embedding of in . As a generalization of their example, we give an explicit example of a C…
Generic immersions and totally real embeddings
Naohiko Kasuya, Masamichi Takase
We show that, for a closed orientable n-manifold, with n not congruent to 3 modulo 4, the existence of a CR-regular embedding into complex (n-1)-space ensures the existence of a to…
A concave holomorphic filling of an overtwisted contact -sphere
Naohiko Kasuya, Daniele Zuddas
In this paper we prove that the closed -ball admits non-Kähler complex structures with strictly pseudoconcave boundary. Moreover, the induced contact structure on the boundary $…
Knots and links of complex tangents
Naohiko Kasuya, Masamichi Takase
It is shown that every knot or link is the set of complex tangents of a 3-sphere smoothly embedded in the three-dimensional complex space. We show in fact that a one-dimensional su…
Non-Kähler complex structures on
Antonio J. Di Scala, Naohiko Kasuya, Daniele Zuddas
We construct the first examples of non-Kähler complex structures on . These complex surfaces have some analogies with the complex structures constructed in early Fifties by Ca…
On embeddings of almost complex manifolds in almost complex Euclidean spaces
Antonio J. Di Scala, Naohiko Kasuya, Daniele Zuddas
We prove that any compact almost complex manifold of real dimension admits a pseudo-holomorphic embedding in a Euclidean space of dimension , endowed with a s…
An obstruction for existence of codimension two contact embeddings in a Darboux chart
Naohiko Kasuya
We prove the vanishing of the first Chern class of a codimension 2 closed contact submanifold of a cooriented contact manifold with trivial integral 2-dimensional cohomology group.…
The contact structure on the link of a cusp singularity
Naohiko Kasuya
We show that the contact structure on the link of a cusp singularity is contactomorphic to a Sol-manifold with the positive contact structure arising from the Anosov flow.