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Homology → Submanifolds: 03

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Learning seminar open to the public. By mid-level graduate students.

What
  • Topology Seminar
When Tue, Sep 13, 2016
from 02:10 PM to 03:00 PM
Where 229 Ritter Hall
Contact Name
Attendees Various talks by mid-level graduate students: Seth Arnold, Jimmy Mixco, Pai Phanachet, Katie Radler.
Mentored closely by advanced graduate students: Chirasree Chatterjee, Sean Corrigan, and Gerrit Smith.
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Presentations for MATH 6980-16, covering Chapter II of Thom's famous 1954 paper on cobordism.  Click "More info" to download.

Question:  When is a homology class represented by a submanifold?

Seth Arnold will define ways to combine homology and cohomology:

  1. snake lemma and Bockstein sequence
  2. universal coefficient sequence
  3. Eilenberg--Zilber chain homotopy equivalence
  4. cross and slant product
  5. Alexander–Whitney diagonal approximation
  6. cup and cap product
  7. Poincaré duality for closed manifolds
For continuity, here is a link to the previous talk.

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