57 citations · 499 across the 40 of their papers we have counts for
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math.SG2005★ 27 cited
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.…
math.GT2005★ 5 cited
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…
math.AT2005★ 11 cited
Crossed flux homomorphisms and vanishing theorems for flux groups
J. Kedra, D. Kotschick, S. Morita
We study the flux homomorphism for closed forms of arbitrary degree, with special emphasis on volume forms and on symplectic forms. The volume flux group is an invariant of the und…