22 citations · 68 across the 13 of their papers we have counts for
14 papers
Singularities and clusters
Vladimir Fock
The aim of this note is to describe a geometric relation between simple plane curve singularities classified by simply laced Cartan matrices and cluster varieties of finite type al…
Conic singularities and immediate transversality
Francois Laudenbach
I introduced the notion of immediate transversality in a recent paper on -structures on Morse complexes. I the present chapter, I prove that immediate transversality hold…
Honda-Huang's work on contact convexity revisited
Yakov Eliashberg, Dishant Pancholi
Following the overall strategy of the paper ``Convex hypersurfaces in contact topology" by Ko Honda and Yang Huang on contact convexity in high dimensions, we present a simplified…
Symplectic embeddings of 4-manifolds via Lefschetz fibrations
Dishant M. Pancholi, Francisco Presas
In this article we study proper symplectic and iso-symplectic embeddings of --manifolds in --manifolds. We show that a closed orientable smooth --manifold admitting a Lefs…
Embeddings of --manifolds in $\CP^3$
Abhijeet Ghanwat, Dishant M. Pancholi
In this article we show that every closed orientable smooth --manifold admits a smooth embedding in the complex projective --space.
The Legendrian Whitney trick
Roger Casals, Dishant M. Pancholi, Francisco Presas
In this article, we prove a Legendrian Whitney trick which allows for the removal of intersections between codimension-two contact submanifolds and Legendrian submanifolds, assumin…
Iso-contact embeddings of manifolds in co-dimension
Dishant M. Pancholi, Suhas Pandit
The purpose of this article is to study co-dimension iso-contact embeddings of closed contact manifolds. We first show that a closed contact manifold iso-cont…
Embeddings of --manifolds via open books
Dishant M. Pancholi, Suhas Pandit, Kuldeep Saha
In this note, we discuss embeddings of --manifolds via open books. First we show that every open book of every closed orientable --manifold admits an open book embedding in a…
A simple construction of positive loops of Legendrians
Dishant Pancholi, José Luis Pérez, Francisco Presas
We construct positive loops of Legendrian submanifolds in several instances. In particular, we partially recover G. Liu's result stating that any loose Legendrian admits a positive…
Homotopical Height
Indranil Biswas, Mahan Mj, Dishant Pancholi
Given a group and a class of manifolds $\CC$ (e.g. symplectic, contact, Kähler etc), it is an old problem to find a manifold $M_G \in \CC$ whose fundamental group is . This…
Contact Blow-Up
Roger Casals, Dishant M. Pancholi, Francisco Presas
We provide various definitions for the contact blow--up. Such different approaches to the contact blow--up are related. Some uniqueness and non--uniqueness results are also provide…
Almost contact 5-folds are contact
Roger Casals, Dishant M. Pancholi, Francisco Presas
We prove that every homotopy class of almost contact structures on a closed 5-dimensional manifold admits a contact structure.
On generalizing Lutz twists
John B. Etnyre, Dishant M. Pancholi
We give a possible generalization of Lutz twist to all dimensions. This reproves the fact that every contact manifold can be given a non-fillable contact structure and also shows g…
Homeomorphisms and the homology of non-orientable surfaces
Siddhartha Gadgil, Dishant Pancholi
We show that, for a closed non-orientable surface , an automorphism of is induced by a homeomorphism of if and only if it preserves the (mod 2) intersection pair…