Personal tools
 

Exotic Spheres 01

— filed under:

Open to the public, a learning seminar with talks from advanced graduate students.

What
  • Topology Seminar
When Thu, Jan 21, 2016
from 11:00 AM to 12:00 PM
Where 202 Ritter Hall
Contact Name
Attendees rotating presentations by: Chirasree Chatterjee, Sean Corrigan, Gerrit Smith.
Add event to calendar vCal
iCal
The primary source is the seminal 1963 differential-topology article, "Groups of homotopy spheres," by Michel Kervaire and John Milnor.

 

OUTLINE for Chirasree Chatterjee

  1. Definition of homotopy n-sphere Σ.
  2. Examples given by clutching diffeomorphisms.
  3. Alternative definition of the commutative monoid Θn of homotopy n-spheres, which is simpler than that given in Sections 1–2.
  4. Existence of representation by clutching (n ⩾ 6); relation to the mapping class group of the standard (n-1)-sphere.
  5. Show that reversing orientation of Σ represents an inverse in Θn, using clutching.
  6. The two definitions of the commutative monoids Θn agree in dimension n ⩾ 5, using the h-cobordism theorem.

 

« September 2017 »
September
SuMoTuWeThFrSa
12
3456789
10111213141516
17181920212223
24252627282930