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1-connected 5-manifolds
1-manifolds
2-manifolds
2012 OSS General information
3-manifolds
3-manifolds in 6-space
4-manifolds: 1-connected
4-manifolds in 7-space
5-manifolds: 1-connected
5-manifolds with fundamental group of order 2
6-manifolds: 1-connected
6-manifolds: 2-connected
Algebraic mapping cone
Algebraic surgery X (Ex)
Almost framed bordism (Ex)
Amphicheiral
Amphicheiral manifold
Aspherical manifolds
Atiyah Conjecture and finite groups (Ex)
Atoroidal 3-manifolds (Ex)
Axiomatization of the manifold concept
B-Bordism
Betti numbers of 3-manifolds (Ex)
Blanchfield form
Bonn THDM 2013: Background
Bonn THDM 2013: Exercises
Bonn THDM 2013: Program
Bonn THDM 2013: Schedule
Bordism
Bordism and cobordism
Borel Conjecture for compact aspherical 4-manifolds
Borel Conjecture for the 2-torus (Ex)
Borel conjecture in dimensions 1 and 2 (Ex)
Bott periodicity and exotic spheres: some comments
Boundaries of Fuchsian groups (Ex)
Boundaries of symmetric complexes (Ex)
Brouwer degree, domination of manifolds and groups presentable by products
Bundle structures and lifting problems (Ex)
Canonical connection
Cell attachments for surgery (Ex)
Chain duality III (Ex)
Chain duality II (Ex)
Chain duality IV (Ex)
Chain duality I (Ex)
Chain duality VII (Ex)
Chain duality VI (Ex)
Chain duality V (Ex)
Characteristic rank of a real vector bundle
Chiral manifold
Chirality
Circle actions on 3-manifolds (Ex)
Classification just below the stable range
Classifying Poincaré complexes via fundamental triples
Classifying spaces for families of subgroups
Classifying spaces for proper group actions (Ex)
Closed manifolds are closed ANR-homology manifolds (Ex)
Complete intersections
Complex bordism
Computation of certain L-groups II (Ex)
Computation of certain L-groups I (Ex)
Concordance implies isotopy for smooth structures on 3-manifolds?
Connected sum
Connected sum of topological manifolds (Ex)
Connection on a principal bundle
Connections
Contact manifold
Covariant derivative
Cubical simplicial volume of surfaces
Curvature identities
Curvature properties of exotic spheres
Curvature tensor and second derivative
Degree one normal maps to the 3-sphere (Ex)
Dehn surgery (Ex)
Does the existence of a string structure depend on a spin structure ? (and a generalization)
Dold manifold
Double suspension (Ex)
Dual Thurston polytope of the 3-torus (Ex)
Dynamics of foliations
E8-form (Ex)
Elementary invariants of Heegaard diagrams (Ex)
Elementary matricies (Ex)
Embedding
Embedding (simple definition)
Embedding homology 3-spheres in the 4-sphere
Embeddings in Euclidean space: an introduction to their classification
Embeddings in Euclidean space: plan and convention
Embeddings just below the stable range
Embeddings just below the stable range: classification
Embeddings of 3-manifolds in 6-space
Embeddings of 4-manifolds in 7-space
Equivariant homology (Ex)
Equivariant intersection number of π-trivial immersions
Equivariant maps (Ex)
Euler characteristic as surgery obstruction (Ex)
Even dimensional surgery obstruction (Ex)
Exotic spheres
Exotic spheres and chirality (Ex)
Extending functors on the category of manifolds and submersions
Extensions of groups (Ex)
Fake complex projective spaces
Fake lens spaces
Fake projective spaces in dim 6
Fake projective spaces in dim 6 (Ex)
Fake real projective spaces
Farrell-Jones Conjecture for finite groups (Ex)
Fibre homotopy trivial bundles (Ex)
Finitely dominated CW complexes (Ex)
Foliation
Foliations
Formal group laws and genera
Formations and chain complexes I
Formations and chain complexes II (Ex)
Formations and chain complexes I (Ex)
Forms and chain complexes II (Ex)
Forms and chain complexes I (Ex)
Framed bordism
Freedman's classification and the Q-form hypothesis (Ex)
Fundamental class
Fundamental groups of 3-dimensional spherical space forms
Fundamental groups of surfaces (Ex)
GKM manifold
Generator sets and the kernel formation
Generator sets and the kernel formation (Ex)
Geometric 3-manifolds
Gluck construction
Grassmann manifolds
Group actions on Euclidean spaces
Group actions on disks
Group actions on spheres
Handlebody decompositions of bordisms
Handlebody decompositions of bordisms (Ex)
Heegaard splittings
Heegaard splittings (Ex)
High codimension embeddings
High codimension links
Hilbert manifold
Hirsch-Smale theory
Hirzebruch surfaces
Historic publications
Homeomorphisms of balls
Homology braid (Ex)
Homology braid II (Ex)
Homology braid I (Ex)
Homotopy spheres III (Ex)
Homotopy spheres II (Ex)
Homotopy spheres IV (Ex)
Homotopy spheres I (Ex)
Hyperbolic 3-manifolds
Hyperbolic Surfaces
Idempotents in group rings (Ex)
Immersing n-spheres in 2n-space (Ex)
Immersion
Impressum
Inertia group II (Ex)
Inertia group I (Ex)
Integral homology 3-spheres embed (Ex)
Integral homology 3-spheres embed in the 4-sphere (Ex)
Intersection form
Intersection forms (Ex)
Intersection number of immersions
Isotopy
K-group, all (Ex)
K-group, first (Ex)
K-group, zeroth (Ex)
K-group, zeroth II (Ex)
K-groups of oriented surface groups (Ex)
K-invariant for G/PL (Ex)
KO-Characteristic classes
Kappa classes (Ex)
Kernel formation
Kernel formation (Ex)
Kervaire-Milnor Braid (Ex)
Knots, i.e. embeddings of spheres
Knotted tori
Kreck2018
L2-Betti numbers for the universal covering of the circle (Ex)
Laitinen conjecture
Legal Notice
Lens spaces
Lens spaces: a history
Lens spaces in dimension three: a history
Levi-Civita connection
Lie groups I: Definition and examples
Linking form
Links of singular points of complex hypersurfaces
MATRIX 2019 Interactions: Exercises
MATRIX 2019 Interactions: Questions
Main Page
Manifold
Manifolds cross a circle (Ex)
Manifolds with singularities
Microbundle
Microbundles (Ex)
Middle-dimensional surgery kernel (Ex)
Milnor Hypersurfaces
Minimal dimension of BG (Ex)
Module:String
Non-orientable quotients of the product of two 2-spheres by Z/4Z
Non-prime solvable fundamental groups (Ex)
Non-reducible Spivak Normal Fibrations (Ex)
Normal 1-types of 4-manifolds (Ex)
Normal and tangential structures (Ex)
Normal bordism - definitions (Ex)
Normal bundles in products of spheres (Ex)
Normal invariants and G/O (Ex)
Normal invariants of products (Ex)
Normal maps - (non)-examples (Ex)
Normal maps and submanifolds (Ex)
Novikov Conjecture
Novikov additivity II (Ex)
Novikov additivity I (Ex)
Oberwolfach Surgery Seminar 2012: Discussion
Oberwolfach Surgery Seminar 2012: Exercises
Oberwolfach Surgery Seminar 2012: General information
Oberwolfach Surgery Seminar 2012: Glossary
Obstruction classes and Pontrjagin classes (Ex)
One fixed point actions
One fixed point actions on spheres
Open book
Orbifold (Wikipedia)
Orientation character
Orientation covering
Orientation of Fredholm maps between Hilbert manifolds
Orientation of manifolds
Orientation of manifolds in generalized cohomology theories
Oriented bordism
Oriented cover
Parametric connected sum
Petrie conjecture
Pin structures
Plans for the Atlas
Plumbing
Plumbing (Ex)
Poincaré's conjecture
Poincaré's cube manifolds
Poincaré's homology sphere
Poincaré Duality Spaces
Poincaré duality (Ex)
Poincaré duality III (Ex)
Poincaré duality II (Ex)
Poincaré duality IV (Ex)
Polytope invariant of a manifold
Presentations
Presentations (Ex)
Prime decomposition theorem in high dimensions
Principal bundle of smooth manifolds
Product rigidity (Ex)
Products of ANR-homology manifolds (Ex)
Projective plane: a history
Pseudoholomorphic curves
Quadratic formations (Ex)
Quadratic forms I (Ex)
Quadratic forms for surgery
Questions about surgery theory
Quillen plus construction (Ex)
Reducible Poincaré Complexes (Ex)
Refacciones
Regensburg Surgery Blockseminar 2012: Exercises
Regensburg Surgery Blockseminar 2012: General information
Regensburg Surgery Blockseminar 2012: Program
Regular homotopy group of immersions (Ex)
Reidemeister torsion (Ex)
Representing homology classes by embedded 2-spheres (Ex)
Rho-invariant
S-duality III (Ex)
S-duality II (Ex)
S-duality I (Ex)
Sandbox
Selected publications in manifold theory
Self-maps of simply connected manifolds
Simple closed curves in surfaces (Ex)
Simplicial volume
Smash product (Ex)
Smoothing the Kervaire manifold (Ex)
Smoothings of products (Ex)
Space forms: a history
Sphere bundles and spin (Ex)
Spin bordism
Spivak normal fibration (Ex)
Splitting invariants (Ex)
Stability of the E8-form (Ex)
Stability of vector bundles (Ex)
Stable classification of 4-manifolds
Stable classification of manifolds
Steenrod problem
Stiefel-Whitney characteristic classes
Stratifold (Wikipedia)
String bordism
Structure set (Ex)
Structured chain complexes (Ex)
Structured chain complexes III (Ex)
Structured chain complexes II (Ex)
Structured chain complexes IV (Ex)
Structured chain complexes V
Structured chain complexes V (Ex)
Structures on M x I (Ex)
Super manifolds: an incomplete survey
Supplement III (Ex)
Supplement II (Ex)
Supplement I (Ex)
Surface
Surface groups as subgroups of hyperbolic groups (Ex)
Surfaces
Surgery exact sequence, PL sphere (Ex)
Surgery obstruction, Arf-invariant (Ex)
Surgery obstruction, signature (Ex)
Surgery obstruction groups
Surgery obstruction map I (Ex)
Surgery resources
Suspension of a symmetric complex (Ex)
Symplectic manifolds
Tangent bundles of bundles (Ex)
Tangential homotopy equivalences (Ex)
Tensor
Tensor derivative
Thickenings
Thom spaces
Thom spaces (Ex)
Three dimensional Heisenberg group (Ex)
Thurston norm and the dual Thurston polytope (Ex)
Topological structures on products of spheres (Ex)
Torsion-free solvable hyperbolic groups (Ex)
Torsion in the B-bordism group for connective covers of BO
Torsion tensor
Totally geodesic submanifold
Trisection genus
Uniqueness of contractible coboundary (Ex)
Unitary bordism
Unoriented bordism
Volume of a closed hyperbolic 3-manifold (Ex)
Wall realisation (Ex)
Website Information
Whitehead torsion (Ex)
Whitehead torsion III (Ex)
Whitehead torsion II (Ex)
Whitehead torsion IV (Ex)
Whitehead torsion V (Ex)
Wu class
Π-trivial map
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