A Geometric Characterization of Harmonic Diffeomorphisms Between Surfaces.
A geometric description of differential cohomology
In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [5, 6, 7, 8]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in [4]. There the starting point was Quillen’s cobordism description of singular cobordism...
A geometric filtration of
A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.
A homological characterization of foliations consisting of minimal surfaces.
A Legendrian Thurston-Bennequin bound from Khovanov homology.
A local modification to monopole equations in 8-dimension.
A Localization Theorem for Functional S1-Spaces.
A Model for Computing Rational Algebraic K-Theory of Simply Connected Spaces.
A necessary and sufficient condition for a vector field to be Killing.
A necessary condition for embedding a complex in
A new cohomology on special kinds of complex manifolds
A new invariant and parametric connected sum of embeddings
We define an isotopy invariant of embeddings of manifolds into Euclidean space. This invariant together with the α-invariant of Haefliger-Wu is complete in the dimension range where the α-invariant could be incomplete. We also define parametric connected sum of certain embeddings (analogous to surgery). This allows us to obtain new completeness results for the α-invariant and the following estimation of isotopy classes of embeddings. In the piecewise-linear category, for a (3n-2m+2)-connected...
A new obstruction to embedding Lagrangian tori.
A Nijenhuis-type tensor on the quotient of a distribution
A non-abelian Seiberg-Witten invariant for integral homology 3-spheres.
A noncompact -cobordism theorem
A non-linear version of Swan's theorem.
A note on 4-dimensional handlebodies
A note on characteristic classes
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.