1 citations · 1 across the 3 of their papers we have counts for
8 papers
Isotopy Classification of Engel Structures on Circle Bundles
Mirko Klukas, Bijan Sahamie
We call two Engel structures isotopic if they are homotopic through Engel structures by a homotopy that fixes the characteristic line field. In the present paper we define an isoto…
On the number of periodic orbits of Morse-Smale flows on graph manifolds
Bijan Sahamie
For a closed oriented 3-manifold we define to be the minimal non-negative number such that in each homotopy class of non-singular vector fields of there is a Morse-S…
On prolongations of contact manifolds
Mirko Klukas, Bijan Sahamie
We apply spectral sequences to derive both an obstruction to the existence of -fold prolongations and a topological classification. Prolongations have been used in the literatur…
Whitney polygons, symbol homology and cobordism maps
Bijan Sahamie
We define a new homology theory we call symbol homology by using decorated moduli spaces of Whitney polygons. By decorating different types of moduli spaces we obtain different fla…
Symmetries and adjunction inequalities for knot Floer homology
Bijan Sahamie
We derive symmetries and adjunction inequalities of the knot Floer homology groups which appear to be especially interesting for homologically essential knots. Furthermore, we obta…
Introduction to the basics of Heegaard Floer homology
Bijan Sahamie
This paper provides an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. The exposit…