Bounding Cohomology Groups of Vector Bundles on IPn.
Bounds for Chern classes of semistable vector bundles on complex projective spaces
This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on and a generalization of the presented method to r-bundles on is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.
Bounds for stable bundles and degrees of Weierstrass schemes.
Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds
We estimate the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold . We then use it to compute uniform upper bounds for the –cup-length of for belonging to certain intervals.
Bounds for the Thurston-Bennequin number from Floer homology.
Bouquets of circles for lamination languages and complexities
Laminations are classic sets of disjoint and non-self-crossing curves on surfaces. Lamination languages are languages of two-way infinite words which code laminations by using associated labeled embedded graphs, and which are subshifts. Here, we characterize the possible exact affine factor complexities of these languages through bouquets of circles, i.e. graphs made of one vertex, as representative coding graphs. We also show how to build families of laminations together with corresponding lamination...
BP Operations and Morava's Extraordinary K-Theories.
Braid Orientations and Bundles with Flat Connections.
Branched Immersions of Surfaces and Reduction of Topological Type, I.
Branched Immersions of Surfaces and Reduction of Topological Type. II.
Breaking Cycles on Surfaces.
Bundles with Totally Disconnected Structure Group
-algebras, positive scalar curvature, and the Novikov conjecture
-conjugacy of holomorphic flows near a singularity
Calcul Jacobien
Calculation of Rozansky-Witten invariants on the Hilbert schemes of points on a K3 surface and the generalised kummer varieties.
Calculation of the avoiding ideal for
We calculate the mapping and obtain a generating system of its kernel. As a corollary, bounds on the codimension of fold maps from real projective spaces to Euclidean space are calculated and the rank of a singular bordism group is determined.
Cancellation, elliptic surfaces and the topology of certain four-manifolds.
Cancellation of hyperbolic forms and topological four-manifolds.
Canonical Classes on Singular Varieties.