5 citations · 13 across the 13 of their papers we have counts for
15 papers
Exotic diffeomorphisms on closed aspherical -manifolds
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We study a class of diffeomorphisms of closed manifolds obtained from Davis' reflection trick construction, which are obtained by reflecting a diffeomorphism supported in the funda…
Constraints on Lefschetz fibrations with four-dimensional fibers from Seiberg-Witten theory
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We establish constraints on the topology of smooth Lefschetz fibrations with -dimensional fibers, by studying the family Bauer-Furuta invariant. To compute this invariant, we an…
The monodromy diffeomorphism of weighted singularities and Seiberg--Witten theory
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We prove that the monodromy diffeomorphism of a complex 2-dimensional isolated hypersurface singularity of weighted-homogeneous type has infinite order in the smooth mapping class…
On four-dimensional Dehn twists and Milnor fibrations
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We study the monodromy diffeomorphism of Milnor fibrations of isolated complex surface singularities, by computing the family Seiberg--Witten invariant of Seifert-fibered Dehn twis…
Complete Riemannian 4-manifolds with uniformly positive scalar curvature
Otis Chodosh, Davi Maximo, Anubhav Mukherjee
We obtain topological obstructions to the existence of a complete Riemannian metric with uniformly positive scalar curvature on certain (non-compact) -manifolds. In particular,…
Corks for exotic diffeomorphisms
Vyacheslav Krushkal, Anubhav Mukherjee, Mark Powell +1
We prove a localization theorem for exotic diffeomorphisms, showing that every diffeomorphism of a compact simply-connected 4-manifold that is isotopic to the identity after stabil…
Existence and construction of non-loose knots
Rima Chatterjee, John B. Etnyre, Hyunki Min +1
In this paper we give necessary and sufficient conditions for a knot type to admit non-loose Legendrian and transverse representatives in some overtwisted contact structure, classi…
One stabilization is not enough for closed knotted surfaces
Kyle Hayden, Sungkyung Kang, Anubhav Mukherjee
In this brief note, we show that there exist smooth 4-manifolds (with nonempty boundary) containing pairs of exotically knotted 2-spheres that remain exotic after one (either exter…
Exotic codimension-1 submanifolds in 4-manifolds and stabilizations
Hokuto Konno, Anubhav Mukherjee, Masaki Taniguchi
In a small simply-connected closed 4-manifold, we construct infinitely many pairs of exotic codimension- submanifolds with diffeomorphic complements that remain exotic after any…
Non-loose torus knots
John B. Etnyre, Hyunki Min, Anubhav Mukherjee
We give a complete coarse classification of Legendrian and transverse torus knots in any contact structure on .
Diffeomorphisms of 4-manifolds with boundary and exotic embeddings
Nobuo Iida, Hokuto Konno, Anubhav Mukherjee +1
We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boun…
Family Bauer--Furuta invariant, Exotic Surfaces and Smale conjecture
Jianfeng Lin, Anubhav Mukherjee
We establish the existence of a pair of exotic surfaces in a punctured which remains exotic after one external stabilization and have diffeomorphic complements. A key ingredie…
An adjunction inequality for the Bauer-Furuta type invariants, with applications to sliceness and 4-manifold topology
Nobuo Iida, Anubhav Mukherjee, Masaki Taniguchi
Our main result gives an adjunction inequality for embedded surfaces in certain -manifolds with contact boundary under a non-vanishing assumption on the Bauer--Furuta type invar…
A note on embeddings of 3-manifolds in symplectic 4-manifolds
Anubhav Mukherjee
We show that any closed oriented 3-manifold can be topologically embedded in some simply-connected closed symplectic 4-manifold, and that it can be made a smooth embedding after on…
On 3-manifolds that are boundaries of exotic 4-manifolds
John B. Etnyre, Hyunki Min, Anubhav Mukherjee
We give several criteria on a closed, oriented 3-manifold that will imply that it is the boundary of a (simply connected) 4-manifold that admits infinitely many distinct smooth str…