collaborators

6 papers

math.SG2024

Bohr-Sommerfeld profile surgeries and Disk Potentials

Soham Chanda

We construct a new surgery type operation by switching between two exact fillings of Legendrians which we call a BSP surgery. In certain cases, this surgery can preserve monotonici…

math.SG2024

Augmentation varieties and disk potentials III

Kenneth Blakey, Soham Chanda, Yuhan Sun +1

This is the third in a series of papers in which we construct Chekanov-Eliashberg algebras for Legendrians in circle-fibered contact manifolds and study the associated augmentation…

math.SG2024

Augmentation varieties and disk potentials II

Kenneth Blakey, Soham Chanda, Yuhan Sun +1

This is the second in a sequence of papers in which we construct Chekanov-Eliashberg algebras for Legendrians in circle-fibered contact manifolds and study the associated augmentat…

math.SG2023

Augmentation varieties and disk potentials I

Kenneth Blakey, Soham Chanda, Yuhan Sun +1

This is the first in a sequence of papers where we show that Lagrangian fillings such as the Harvey-Lawson filling in any dimension define augmentations of Chekanov-Eliashberg diff…

math.SG2023

Infinitely many monotone Lagrangian tori in higher projective spaces

Soham Chanda, Amanda Hirschi, Luya Wang

Vianna constructed infinitely many exotic Lagrangian tori in the complex projective plane. We lift these tori to higher-dimensional projective spaces and show that they remain non-…

math.SG2023

Floer Cohomology and Higher Mutations

Soham Chanda

We extend the construction of higher mutation as introduced in Pascaleff-Tonkonog to local higher mutation, which is applicable to a larger class of monotone Lagrangians. In two-di…