5 citations · 6 across the 3 of their papers we have counts for
7 papers
Nested open books and the binding sum
Sebastian Durst, Mirko Klukas
We introduce the notion of a nested open book, a submanifold equipped with an open book structure compatible with an ambient open book, and describe in detail the special case of a…
Computing the Thurston-Bennequin invariant in open books
Sebastian Durst, Marc Kegel, Mirko Klukas
We give explicit formulas and algorithms for the computation of the Thurston-Bennequin invariant of a nullhomologous Legendrian knot on a page of a contact open book and on contact…
The fundamental group of the space of contact structures on the 3-torus
Hansjörg Geiges, Mirko Klukas
We show that the fundamental group of the space of contact structures on the 3-torus (based at the standard contact structure) is isomorphic to the integers.
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…
Open book decompositions of fibre sums in contact topology
Mirko Klukas
In the present paper we describe compatible open books for the fibre connected sum along binding components of open books, as well as for the fibre connected sum along multi-sectio…
Open books and exact symplectic cobordisms
Mirko Klukas
Given two open books with equal pages we show the existence of an exact symplectic cobordism whose negative end equals the disjoint union of the contact manifolds associated to the…