1 / 82

Manifolds and Cobordism

Manifolds and Cobordism. Mark Behrens. Manifolds. Manifolds. Manifolds. Manifolds. Manifolds. Manifolds. Manifolds. S 3 is obtained by taking a solid ball and gluing the opposite hemispheres together:. Glue.

sseaman
Download Presentation

Manifolds and Cobordism

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Manifolds and Cobordism Mark Behrens

  2. Manifolds

  3. Manifolds

  4. Manifolds

  5. Manifolds

  6. Manifolds

  7. Manifolds

  8. Manifolds

  9. S3 is obtained by taking a solid ball and gluing the opposite hemispheres together: Glue

  10. You can think of S3 this way: If you are flying around in S3, and fly through the surface in the northern hemisphere, you reemerge in the southern hemisphere.

  11. P3 is obtained by taking a solid ball and gluing antipodal points together: Glue

  12. You can think of P3 this way: If you are flying around in P3, and fly through the surface in the northern hemisphere, you reemerge in the southern hemisphere, but flipped backwards.

  13. You can think of P3 this way: If you are flying around in P3, and fly through the surface in the northern hemisphere, you reemerge in the southern hemisphere, but flipped backwards.

More Related