Commutators of Diffeomorphisms
Commutators of Diffeomorphisms: II.
Commutators of diffeomorphisms of a manifold with boundary
A well known theorem of Herman-Thurston states that the identity component of the group of diffeomorphisms of a boundaryless manifold is perfect and simple. We generalize this result to manifolds with boundary. Remarks on -diffeomorphisms are included.
Commuting involutions whose fixed point set consists of two special components
Let Fⁿ be a connected, smooth and closed n-dimensional manifold. We call Fⁿ a manifold with property when it has the following property: if is any smooth closed m-dimensional manifold with m > n and is a smooth involution whose fixed point set is Fⁿ, then m = 2n. Examples of manifolds with this property are: the real, complex and quaternionic even-dimensional projective spaces , and , and the connected sum of and any number of copies of Sⁿ × Sⁿ, where Sⁿ is the n-sphere and n is not...
Compact cosymplectic manifolds of positive constant phi-sectional curvature.
Compact Differentiable 4-Folds with Quaternionic Structures.
Compact Differentiable 4-Folds with Quaternionic Structures (Erratum).
Compact differentiable transformation groups on exotic spheres.
Compactness for embedded pseudoholomorphic curves in 3-manifolds
We prove a compactness theorem for holomorphic curves in 4-dimensional symplectizations that have embedded projections to the underlying 3-manifold. It strengthens the cylindrical case of the SFT compactness theorem [BEH+C03] by using intersection theory to show that degenerations of such sequences never give rise to multiple covers or nodes, so transversality is easily achieved. This has application to the theory of stable finite energy foliations introduced in [HWZ03], and also suggests a new...
Compactness Results for Orbifold Instantons.
Compactness results in symplectic field theory.
Comparing handle decompositions of homotopy equivalent manifolds
Comparison of the refined analytic and the Burghelea-Haller torsions
The refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form on the determinant line of the cohomology. Both and the Burghelea-Haller torsion are refinements of the Ray-Singer torsion. We show that whenever the Burghelea-Haller torsion is defined it is equal to . As an application we obtain new results about the Burghelea-Haller torsion. In particular, we prove a weak version of the Burghelea-Haller conjecture relating...
Complete decomposability of quotients by complex conjugation for real complete intersection surfaces.
Completing Lie algebra actions to Lie group actions.
Complex 2 Plane Bundles over CP(n).
Complex Analytic Realization of Reeb's Foliation of S3.
Complex Bordism and Finite Solvable Groups with Periodic Cohomology.
Complex Bordism and Free Unitary Actions of Finite Solvable Groups with Periodic Cohomology on Spheres.
Complex cobordism ring and conformal field theory over Z.