12 papers
Rigidity of ADC contact structures
Sauvik Mukherjee
We show by a counter example that any Liouville filling of a ADC closed contact manifold does not have isomorphic integral cohomologies.
Weinstein Homotopies
Sauvik Mukherjee
We give a partial answer to a question asked by Eliashberg in one of his recent papers.
Characterizing Regular Lagrangians by Lefschetz Fibration
Sauvik Mukherjee
We prove that the existence of regular Lagrangians can be given by existence of Weinstein Lefschetz fibrations with an hypothesis.
Regular Symplectic Foliations on Closed manifolds
Sauvik Mukherjee
In this paper we prove h-principal for regular Symplectic Foliations on Closed manifolds.
Thurston's h-principle and Flexibility of Poisson Structures
Sauvik Mukherjee
We prove an analogue of Thurston's h-principle for -dimensional foliations on manifolds of dimension bigger or equal to , in the presence of a fiber-wise non-degenerate -f…
On existence of non-compact exact lagrangian cobordism
Sauvik Mukherjee
We prove an existence result for exact lagrangian cobordisms between closed legendrians.
Symplectic A-directed Immersions
Sauvik Mukherjee
We derive a symplectic analogue of A-directed immersion theorem.
Poisson Structures On Closed Manifolds
Sauvik Mukherjee
We prove an h-principle for poisson structures on closed manifolds.
Seifert's conjecture for almost symplectic foliations
Sauvik Mukherjee
We disproving Seifert's conjecture for almost symplectic foliations with co-dimension bigger or equal to 3.
Foliations with geometric structures
Sauvik Mukherjee
A foliation on a manifold M can be informally thought of as a partition of M into injectively immersed submanifolds, called leaves. In this thesis we study foliations whose leaves…
Homotopy classification of contact foliations on an open contact manifold
Mahuya Datta, Sauvik Mukherjee
We give a complete classification of foliations on open contact manifolds whose leaves are contact submanifolds of the ambient manifold. The results are analogues of Haefliger's cl…
On Existence of Regular Jacobi Structures
Mahuya Datta, Sauvik Mukherjee
We prove -principle for locally conformal symplectic foliations and contact foliations on open manifolds. We interpret the result on principle of contact foliations in terms…