Combinatorial Hodge Theory and Signature Operator.
Combinatorial mapping-torus, branched surfaces and free group automorphisms
We give a characterization of the geometric automorphisms in a certain class of (not necessarily irreducible) free group automorphisms. When the automorphism is geometric, then it is induced by a pseudo-Anosov homeomorphism without interior singularities. An outer free group automorphism is given by a -cocycle of a -complex (a standard dynamical branched surface, see [7] and [9]) the fundamental group of which is the mapping-torus group of the automorphism. A combinatorial construction elucidates...
Combinatorial Miller-Morita-Mumford classes and Witten cycles.
Combinatorial random walks on 3-manifolds.
Combinatorial squashings, 3-manifolds, and the third homology of groups.
Combinatorics and topology - François Jaeger's work in knot theory
François Jaeger found a number of beautiful connections between combinatorics and the topology of knots and links, culminating in an intricate relationship between link invariants and the Bose-Mesner algebra of an association scheme. This paper gives an introduction to this connection.
Combinatorics of orientation reversing polygons.
Combins of Semidrect Products and 3-Manifold Groups.
Commensurability classes and volumes of hyperbolic 3-manifolds
Commensurability of graph products.
Commensurations of the Johnson kernel.
Commensurator subgroups of surface groups.
Commutators and squares in free groups.
Commutators of C...-diffeomorphisms. Appendix to "A Curious Remark Concerning the Geometric Transfer Map" by John N. Mather.
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 absolute retracts as factors of the Hilbert space
Compact cosymplectic manifolds of positive constant phi-sectional curvature.