Dishant M. Pancholi

activity

20062021

collaborators

6 papers

math.GT2021

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 $4$ --manifolds in $6$ --manifolds. We show that a closed orientable smooth $4$ --manifold admitting a Lefs…

math.GT2020

Embeddings of $4$ --manifolds in $\CP^3$

Abhijeet Ghanwat, Dishant M. Pancholi

In this article we show that every closed orientable smooth $4$ --manifold admits a smooth embedding in the complex projective $3$ --space.

math.SG2018

Iso-contact embeddings of manifolds in co-dimension $2$

Dishant M. Pancholi, Suhas Pandit

The purpose of this article is to study co-dimension $2$ iso-contact embeddings of closed contact manifolds. We first show that a closed contact manifold $(M^{2 n - 1}, ξ_{M})$ iso-cont…

math.GT2018

Embeddings of $3$ --manifolds via open books

Dishant M. Pancholi, Suhas Pandit, Kuldeep Saha

In this note, we discuss embeddings of $3$ --manifolds via open books. First we show that every open book of every closed orientable $3$ --manifold admits an open book embedding in a…

math.SG2012

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…

math.GN2006

Homeomorphisms and the homology of non-orientable surfaces

Siddhartha Gadgil, Dishant Pancholi

We show that, for a closed non-orientable surface $F$ , an automorphism of $H_{1} (F, Z)$ is induced by a homeomorphism of $F$ if and only if it preserves the (mod 2) intersection pair…