Manifolds with non-stable fundamental groups at infinity, II.
Manifolds with singularities accepting a metric of positive scalar curvature.
Manifolds with wells of negative curvature (with an Appendix by Daniel Ruberman).
Many different disk knots with the same exterior.
Many Triangulated Spheres.
Mapping class group and the Casson invariant
Using a new definition of the second and third Johsnon homomorphisms, we simplify and extend the work of Morita on the Casson invariant of homology-spheres defined by Heegard splittings. In particular, we calculate the Casson invariant of the homology-sphere obtained by gluing two handlebodies along a homeomorphism of the boundary belonging to the Torelli subgroup.
Mapping class group of a handlebody
Let B be a 3-dimensional handlebody of genus g. Let ℳ be the group of the isotopy classes of orientation preserving homeomorphisms of B. We construct a 2-dimensional simplicial complex X, connected and simply-connected, on which ℳ acts by simplicial transformations and has only a finite number of orbits. From this action we derive an explicit finite presentation of ℳ.
Mapping fibrations.
Mapping tori of free group automorphisms are coherent.
Mappings covered by products and pinched products
Mappings Into Loop Spaces and Central Group Extensions.
Mappings of reducible 3-manifolds
Mappings on manifolds
Maps between Classifying Spaces.
Maps Without Certain Singularities.
Markov traces and knot invariants related to Iwahori-Hecke algebras of type B.
Mass endomorphism, surgery and perturbations
We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.
Mathematical instanton bundles on P2n+1.
Mathematical properties of DNA structure in 3-dimensional space.
Matrix factorizations and link homology
For each positive integer n the HOMFLYPT polynomial of links specializes to a one-variable polynomial that can be recovered from the representation theory of quantum sl(n). For each such n we build a doubly-graded homology theory of links with this polynomial as the Euler characteristic. The core of our construction utilizes the theory of matrix factorizations, which provide a linear algebra description of maximal Cohen-Macaulay modules on isolated hypersurface singularities.