Manifold Atlas: Community Portal

Welcome to the Manifold Atlas Community Portal. Below you will find a list of planned pages on the Atlas - please feel free to get involved and start working on these pages or another page you would like to create.

Here are some pages you may like to visit:

• Projects you can join.

• Atlas diary for recent events as well as the history of the Atlas.

• Atlas Observer lets you sign up for email up-dates about changes at the Atlas.

• Workshops gives information about Atlas writing workshops.

• Links for links to resources about manifolds on the Web.

1 Proposed pages

In the first phase of the creation of the Manifold Atlas, we are looking for a broad range of pages.

• Below are lists of pages we would like to see on the Manifold Atlas.

• Please feel free to start a page from one of the lists and to add to the discussion page.

• For comparison here is a list of Wikipedia pages related to manifolds.

1.1 Manifolds

• Abelian varieties
• Arithmetic 3-manifolds
• Brieskorn spheres
• Complete intersections
• Elliptic surfaces
• Exotic spheres
• Graph manifolds
• Hyperbolic manifolds
• K3 surface - there is a Wikipedia page
• Lens spaces
• Lie groups - we have Lie_groups_I:_Definition_and_examples
• Projective space - there is a Wikipedia page
  • Real projective space
  • Complex projective space
  • Quaternionic projective space
  • The Cayley plane - there is a short Wikipedia page and a great MathOverflow page
• Tori - there is a Wikipedia page
• Seifert fibre spaces
• Handle-bodies
• Thickenings

1.3 Theory

• Blow up
• Connected sum
• Handlebody
• Plumbing
• Quotient space