Khovanov homology of positive links
1 : Humboldt Universität zu Berlin
2 : Berlin Mathematical School
3 : Dpto. de Matemáticas - Facultad Ciencia y Tecnología
In this talk, we will discuss a new obstructions for positivity of links coming from Khovanov homology. More concretely, the first Khovanov homology for positive links is supported in a single quantum grading. Additionally, this first Khovanov homology also vanishes if and only if the link is also fibered.