33 citations · 133 across the 8 of their papers we have counts for
6 papers · 1 filter
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.…
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…
Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality
V. Braungardt, D. Kotschick
We prove upper bounds for the number of critical points in semistable symplectic Lefschetz fibrations. We also obtain a new lower bound for the number of nonseparting vanishing cyc…
Some examples of aspherical symplectic four-manifolds
H. Endo, D. Kotschick
The paper was withdrawn due to a gap in the proof of Lemma 3.