9 papers
On contact cosmetic surgery
John B. Etnyre, Tanushree Shah
We demonstrate that the contact cosmetic surgery conjecture holds true for all non-trivial Legendrian knots, with the possible exception of Lagrangian slice knots. We also discuss…
Contact cosmetic surgery on Legendrian knots in integer homology sphere -spaces
Apratim Chakraborty, Swarup Kumar Das, Tanushree Shah
We extend the study of contact cosmetic surgeries to Legendrian knots in integer homology sphere L-spaces . We prove that the contact cosmetic surgery conjecture holds for all non-…
On Legendrian Thurston-Bennequin-symmetrical graphs
Trung Chau, Tanushree Shah
This article reviews the development of Legendrian graph theory in the standard contact 3-sphere (). We provide a generalized criterion under which the total Thursto…
A note on alternating knots in handlebodies
Lizzie Buchanan, Tanushree Shah
We establish a Kauffman-Murasugi-Thistlethwaite-type theorem for alternating knots in a solid torus. Specifically, we show that any dotted-reduced alternating diagram of a knot in…
Non-Simple knots in Contact 3-Manifolds
Ipsita Datta, Tanushree Shah
We present new families of examples of non-simple prime Legendrian and transversal knots in tight Lens spaces, which demonstrate that the botany of Legendrians in Lens space is ric…
Mixed tori in contact surgery diagrams
Austin Christian, Tanushree Shah
We develop a diagrammatic framework for applying the symplectic JSJ decomposition to exact/weak symplectic fillings of 3-dimensional contact manifolds. Namely, we apply the symplec…