33 citations · 133 across the 8 of their papers we have counts for
14 papers
Minimality and irreducibility of symplectic four-manifolds
M. J. D. Hamilton, D. Kotschick
We prove that all minimal symplectic four-manifolds are essentially irreducible. We also clarify the relationship between holomorphic and symplectic minimality of Kähler surfaces.…
Minimizing Euler characteristics of symplectic four-manifolds
D. Kotschick
We prove that the minimal Euler characteristic of a closed symplectic four-manifold with given fundamental group is often much larger than the minimal Euler characteristic of almos…
Characteristic classes of foliated surface bundles with area-preserving holonomy
D. Kotschick, S. Morita
Making use of the extended flux homomorphism on the group of symplectomorphisms of a closed oriented surface of genus at least 2, we introduce new characteristic classes of foliate…
Stability theorems for symplectic and contact pairs
G. Bande, P. Ghiggini, D. Kotschick
We prove Gray--Moser stability theorems for complementary pairs of forms of constant class defining symplectic pairs, contact-symplectic pairs and contact pairs. We also consider t…
The geometry of symplectic pairs
G. Bande, D. Kotschick
We study the geometry of manifolds carrying symplectic pairs consisting of two closed 2-forms of constant ranks, whose kernel foliations are complementary. Using a variation of the…
Quasi-homomorphisms and stable lengths in mapping class groups
D. Kotschick
We give elementary applications of quasi-homomorphisms to growth problems in groups. A particular case concerns the number of torsion elements required to factorise a given element…