Geometry and Topology: Manifolds: Varieties, and KnotsThis book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties. |
Contents
A geometric construction of the boundedly controlled Whitehead group | 13 |
Douglas R Anderson and Hans Jørgen Munkholm | 27 |
On certain branched cyclic covers of | 43 |
Gauge theory and smooth structures on 4manifolds | 89 |
The lower central series of generalized pure braid groups | 103 |
Deformations of flat bundles over Kähler manifolds | 129 |
Imbeddings of knot groups in knot groups | 147 |
Deformations of totally geodesic foliations | 167 |
Lattice gauge fields and ChernWeil theory | 211 |
Intrinsic skeleta and intersection homology of weakly | 233 |
Isolated critical points of maps from R4 to R2 and a natural | 251 |
Covering theorems for open surfaces | 265 |
The role of knot theory in DNA research | 297 |
Continuous versus discrete symmetry | 319 |
| 347 | |
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Common terms and phrases
4-manifolds algebraic sets automorphism boundary boundedly controlled bundle C₂ cell complex Chamb chiral closed braid codimension cohomology combinatorial compact components cone conjugate construction convex cell complex COROLLARY corresponding cover Coxeter system CW complex cyclic defined deformation denote diagram diffeomorphism equivariant example exists fiber fibration filtration finite flat connection foliation follows fundamental group G₁ G₂ geodesic geometric graph h-cobordism H₁ handle decomposition Hence homeomorphism homology homotopy equivalence induces integer intersection invariant isomorphism isotopy knot exterior knot groups lemma linear locally m₁ manifold Math metric moduli spaces morphism neighborhood obstruction orientation p-valent planar polynomial preprint proof proposition regular resolution towers result s-cobordism theorem satisfies Schläfli symbol Simple Homotopy Simple Homotopy Theory simplicial complex smooth subgroup subset Suppose surface tangle theorem theta-curve topological torus tr(P trivial unknotted vector weakly stratified set X₁ αβ αχ