1 citations · 1 across the 4 of their papers we have counts for
6 papers
Reduced even and odd Khovanov homology of positive and -adequate links
Naageswaran Manikandan
In this article, we study reduced even and odd Khovanov homology, with a particular focus on positive and -adequate links. For positive links, we show that the first reduced hom…
A vanishing theorem in Siefring's intersection theory
Naageswaran Manikandan
In 2009, R. Siefring introduced a homotopy-invariant generalized intersection number and singularity index for punctured pseudoholomorphic curves, by adding contributions from curv…
Algorithms in 4-manifold topology
Stefan Bastl, Rhuaidi Burke, Rima Chatterjee +28
We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In p…
On unknotting fibered positive knots and braids
Marc Kegel, Lukas Lewark, Naageswaran Manikandan +3
The unknotting number and the genus of braid positive knots are equal, as shown by Rudolph. We prove the stronger statement that any positive braid diagram of a genus k…
Khovanov homology of positive links and of L-space knots
Marc Kegel, Naageswaran Manikandan, Leo Mousseau +1
In this article, we develop new obstructions for positivity of links coming from Khovanov homology. More concretely, we show that the first Khovanov homology of a non-split, positi…
On the topology of bi-cyclopermutohedra
Priyavrat Deshpande, Naageswaran Manikandan, Anurag Singh
Motivated by the work of Panina and her coauthors on cyclopermutohedron we study a poset whose elements correspond to equivalence classes of partitions of the set $\{1,\cdots, n+1\…