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Manifold Atlas

Brouwer degree, domination of manifolds and groups presentable by products. Classifying Poincaré complexes via fundamental triples. Intersection number of immersions. Welcome to the Manifold Atlas Project:. A scientific Wiki and. An on-line journal, the Bulletin of the Manifold Atlas. New Feature: users can upload complete texts as pdf files. With pages about constructions. Of manifolds as well as their invariants. With pages summarising useful general facts. Their status and their history. Add to or edit.

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Brouwer degree, domination of manifolds and groups presentable by products. Classifying Poincaré complexes via fundamental triples. Intersection number of immersions. Welcome to the Manifold Atlas Project:. A scientific Wiki and. An on-line journal, the Bulletin of the Manifold Atlas. New Feature: users can upload complete texts as pdf files. With pages about constructions. Of manifolds as well as their invariants. With pages summarising useful general facts. Their status and their history. Add to or edit.
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Manifold Atlas | map.mpim-bonn.mpg.de Reviews

https://map.mpim-bonn.mpg.de

Brouwer degree, domination of manifolds and groups presentable by products. Classifying Poincaré complexes via fundamental triples. Intersection number of immersions. Welcome to the Manifold Atlas Project:. A scientific Wiki and. An on-line journal, the Bulletin of the Manifold Atlas. New Feature: users can upload complete texts as pdf files. With pages about constructions. Of manifolds as well as their invariants. With pages summarising useful general facts. Their status and their history. Add to or edit.

INTERNAL PAGES

map.mpim-bonn.mpg.de map.mpim-bonn.mpg.de
1

6-manifolds: 1-connected - Manifold Atlas

http://www.map.mpim-bonn.mpg.de/6-manifolds:_1-connected

The user responsible for this page is Alexey Zhubr. No other user may edit this page at present. Relations for classical invariants. Relations for special invariants. Functorial behaviour of invariants. Classification theorem (the general case). Be the set of. Isomorphism classes of closed oriented simply connected 6-dimensional. Piecewise linear manifolds) or. Topological manifolds). On this page we describe the results of calculation of the sets. Begun by [ Smale1962. 93;, extended in [ Wall1966. For s...

2

Category: Manifolds - Manifold Atlas

http://www.map.mpim-bonn.mpg.de/Category:Manifolds

Of the manifold atlas contains pages detailing constructions. Of particular manifolds or classes of manifolds as well as their invariants. When known, classification theorems. And other features of interest are presented. The pages in this chapter have a canonical structure. To create a new open-editing page. In the Manifolds Chapter click here. To create a new restricted-editing page. In the Manifolds Chapter click here. This category has the following 6 subcategories, out of 6 total.

3

2-manifolds - Manifold Atlas

http://www.map.mpim-bonn.mpg.de/2-manifolds

The user responsible for this page is Daniel Müllner. No other user may edit this page at present. This page is being refereed. Under the supervision of the editorial board. Hence the page may not be edited at present. As always, the discussion page remains open for observations and comments. First construction: connected sum. By gluing handles and crosscaps. A surface is a synonym for a. Dimensional manifold. Complex. Surfaces without boundary are considered. 2 First construction: connected sum. A Klein...

4

Category: Theory - Manifold Atlas

http://www.map.mpim-bonn.mpg.de/Category:Theory

The Theory Chapter contains pages which summarise general facts, theorems and constructions related to manifolds. To create a new open-editing page. In the Theory Chapter click here. To create a new restricted-editing page. In the Theory Chapter click here. This category has the following 5 subcategories, out of 5 total. Group actions on manifolds. Pages in category "Theory". The following 33 pages are in this category, out of 33 total. Classifying Poincaré complexes via fundamental triples.

5

Manifold Atlas:Editorial Board - Manifold Atlas

http://www.map.mpim-bonn.mpg.de/Manifold_Atlas:Editorial_Board

This page lists the current members of the editorial board of the Manifold Atlas. You may wish to read about the editorial criteria and processes. The chief scientific editor of the Manifold Atlas is Matthias Kreck. If you would like to contact him please visit his homepage. Université Paul Sabatier, Toulouse. New York University, New York. Australian National University, Canberra. Indiana University, Bloomington. Capital Normal University, Beijing. Open University, Milton Keynes. Writing in the Atlas.

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boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/articles/36/abstract

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. Diarmuid Crowley and Matthias Kreck. Formal group laws and genera. Mathematical Subject Classification 2010. Primary: 57N99, 19A99, 19B99, 19D99, 19G24, 20C07, 20F25, 57P10.

boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/articles/29/abstract

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. Diarmuid Crowley and Matthias Kreck. Formal group laws and genera. Simplicial volume, minimal volume, bounded cohomology. Mathematical Subject Classification 2010. Primary: 53C23, 57R99.

boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/articles/37/abstract

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. Diarmuid Crowley and Matthias Kreck. Formal group laws and genera. Lens space, fake lens space, Reidemeister torsion, rho-invariant, splitting invariants, surgery, structure set, join construction. Mathematical Subject Classification 2010. Primary: 57R65, 57S25. 4th January 2013, 8th March 2013.

boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/articles/28/abstract

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. Diarmuid Crowley and Matthias Kreck. Formal group laws and genera. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. We present an incomplete survey on some basic notions of super manifolds which may serve as a short introduction to this subject.

boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/articles/48/abstract

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. Diarmuid Crowley and Matthias Kreck. Formal group laws and genera. 1-manifold, topological classification, orientation, group of self-homeomorphisms, mapping class group, finite group actions, intrinsic metric. Mathematical Subject Classification 2010. Primary: 57-00, 57-01, 57M99, 57N16, 57R99, 57S10, 57S17, 57S25.

boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/articles/39/abstract

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. Diarmuid Crowley and Matthias Kreck. Formal group laws and genera. Cube manifold, history of topology. Mathematical Subject Classification 2010. Primary: 01A55, 01A60.

boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/volumes/5

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history.

boma.mpim-bonn.mpg.de boma.mpim-bonn.mpg.de

BoMA - Bulletin of the Manifold Atlas

http://www.boma.mpim-bonn.mpg.de/articles/38/abstract

Lens spaces in dimension three: a history. Projective plane: a history. Space forms: a history. Super manifolds: an incomplete survey. Henning Hohnhold, Stephan Stolz and Peter Teichner. Diarmuid Crowley and Matthias Kreck. Formal group laws and genera. Lens spaces in dimension three: a history. In this article we present the early history of 3-dimensional lens spaces from their first appearance in Tietze’s paper (1908) to the late 1930's including the problem of their classification.

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Manifold Atlas

Brouwer degree, domination of manifolds and groups presentable by products. Classifying Poincaré complexes via fundamental triples. Intersection number of immersions. Welcome to the Manifold Atlas Project:. A scientific Wiki and. An on-line journal, the Bulletin of the Manifold Atlas. New Feature: users can upload complete texts as pdf files. With pages about constructions. Of manifolds as well as their invariants. With pages summarising useful general facts. Their status and their history. Add to or edit.

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