Involutions of 3-dimensional handlebodies
We study the orientation preserving involutions of the orientable 3-dimensional handlebody , for any genus g. A complete classification of such involutions is given in terms of their fixed points.
Involutions on Homotopy Spheres.
Involutions on Spheres and Mahowald's Root Invariant.
Involutions on tori with codimension-one fixed point set
The standard P. A. Smith theory of p-group actions on spheres, disks, and euclidean spaces is extended to the case of p-group actions on tori (i.e., products of circles) and coupled with topological surgery theory to give a complete topological classification, valid in all dimensions, of the locally linear, orientation-reversing, involutions on tori with fixed point set of codimension one.
Involutions with n-Dimensional Fixed-Sets.
Involutory Hopf group-coalgebras and flat bundles over 3-manifolds
Given a group π, we use involutory Hopf π-coalgebras to define a scalar invariant of flat π-bundles over 3-manifolds. When π = 1, this invariant equals the one for 3-manifolds constructed by Kuperberg from involutory Hopf algebras. We give examples which show that this invariant is non-trivial.
Involving symmetries of Riemann surfaces to a study of the mapping class group.
Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Irregular Primes and Integrality Theorems for Manifolds.
Isolated critical points of mappings from R4 to R2 and a natural splitting of the Milnor number of a classical fibered link. Part I: Basic theory; examples.
Isolated fixed points of circle actions on 4-manifolds.
Isometric Embeddings of Pro-Euclidean Spaces
In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and only if X is a pro-Euclidean space of rank at most n, meaning that X can be written as a “nice” inverse limit of polyhedra. He also shows that either case implies that X has covering dimension at most n. The purpose of this paper is to extend these results to include both embeddings and spaces which are proper instead of compact. The main result of this paper is that any pro-Euclidean space of rank...
Isometric Immersions of Lorentzian Space Forms.
Isometries of systolic spaces
We provide a classification of isometries of systolic complexes corresponding to the classification of isometries of CAT(0)-spaces. We prove that any isometry of a systolic complex either fixes the barycentre of some simplex (elliptic case) or stabilizes a thick geodesic (hyperbolic case). This leads to an alternative proof of the fact that finitely generated abelian subgroups of systolic groups are undistorted.
Isomorphisms and Ideals of the Lie Algebras of Vector Fields.
Isomorphisms and Peripheral Structure of Knot Groups.
Isomorphisms of Lie algebras of vector fields
Isoparametric Hypersurfaces with Four or Six Distinct Principal Curvatures. Necessary Conditions on the Multiplicities.
Isoperimetric inequalities and the homology of groups.
Isospectral, non-isometric Riemannian manifolds
The author gives a survey of the history of isospectral manifolds that are non-isometric discussing the work of Milnor, Vignéras, Sunada, and de Turck and Gordon. She describes the construction of continuous isospectral deformations as introduced by Gordon, Wilson, De Turck et al. She also discusses the construction of isospectral plane domains due to Gordon, Webb, and Wolpert. Some new examples of isospectral non-isometric manifolds are given.