A characterization of osculating maps
A characterization of shortest geodesics on surfaces.
A characterization of the disc
A Characterization of the Hopf Map by Stretch.
A Characterization of the Sphere and Euclidean Space by Transformation Groups.
A characterziation of IPn by vector bundles.
A class of 4-pseudomanifolds similar to the lense spaces.
A class of discriminant varieties in the conformal 3-sphere.
A Class of Elliptic Partial Differential Equations with Exponential Nonlinearities.
A class of tight contact structures on .
A class α and locally connected continua which can be ε-mapped onto a surface
A classification of cohomology transfers for ramified covering maps
We construct a cohomology transfer for n-fold ramified covering maps. Then we define a very general concept of transfer for ramified covering maps and prove a classification theorem for such transfers. This generalizes Roush's classification of transfers for n-fold ordinary covering maps. We characterize those representable cofunctors which admit a family of transfers for ramified covering maps that have two naturality properties, as well as normalization and stability. This is analogous to Roush's...
A classification of the topological types of -actions on closed orientable 3-manifolds
A classification theorem for connections.
A Cohomological Proof of the Torus Theorem.
A cohomology for foliated manifolds.
A cohomology theory for colored tangles
We employ the sl(2) foam cohomology to define a cohomology theory for oriented framed tangles whose components are labeled by irreducible representations of . We show that the corresponding colored invariants of tangles can be assembled into invariants of bigger tangles. For the case of knots and links, the corresponding theory is a categorification of the colored Jones polynomial, and provides a tool for efficient computations of the resulting colored invariant of knots and links. Our theory is...
A colored Khovanov bicomplex
In this note, we prove the existence of a tri-graded Khovanov-type bicomplex (Theorem 1.2). The graded Euler characteristic of the total complex associated with this bicomplex is the colored Jones polynomial of a link. The first grading of the bicomplex is a homological one derived from cabling of the link (i.e., replacing a strand of the link by several parallel strands); the second grading is related to the homological grading of ordinary Khovanov homology; finally, the third grading is preserved...
A colored 𝔰𝔩(N) homology for links in S³ [Book]
A combinatorial characterization of 4-dimensional handlebodies.