Math 7851
Differential Topology
  Autumn 2019


Lecturer:   Michael Davis
    Office:   MW (Math Tower) 616
    E-mail:   davis.12@osu.edu
    Phone:   292-4886
    Office hours:   after class or by appointment

Texts:  Milnor, Topology from the Differentiable Viewpoint, Princeton.  pdf
    https://www.maths.ed.ac.uk/~v1ranick/papers/milnortop.pdf
   
    Milnor:  CharacteristicClasses

    Milnor notes: pdf

    Hatcher: Vector bundles  http://pi.math.cornell.edu/~hatcher/VBKT/VB.pdf
   
    Wall: book

Class:   MoWeFr   12:40 - 1:35 PM  Enarson 202,  Call no. 34020 or 34021

Catalog Description:
Whitney Immersion and Embedding Theorems, transverse functions, jet-bundles, Thom transversality; classification of vector bundles, collars, tubular neighborhoods, intersection theory; Morse functions and lemma; surgery, Smale cancellation. Prereq: 6701 and 6801. Not open to students with credit for 7851.02.
Credit Hours: 
3.0
 

My homepage:  click here    Math Department's webpage:  click here
My lecture notes:  chapters1-3,
Speaking schedule

Chapter in Milnor
Speaker
date
4
Caleb Dilsavor
9/4/19
5
Mario Gomez Flores
9/6/19



6
Danyu Zhang
9/11/19
Diff Topology


Whitney Embedding Thm
Gustavo Chapparo Sumalave 9/25 - 9/27
Transversality
Danyu
9/30
Vector bundles - preliminaries
Mario
10/2 -10/2
Vector bundles - additive inverses
Caleb
10/4, 10/7
Grassmann manifolds
Gustavo
10/7-10/9
Characteristic Classes


first half of 4 (Stiefel-Whitney classes)
Danyu
10/28 -
second half of 4 (immersions)
Gustavo
10/30 - 11/1
6 (cell structure of Grassmann manifolds)
Mario
11/4-11/6
7 (cohomology of Grassmann manifolds)
Caleb
11/6 - 11/8
8 (Steenrod squares)
Mike
11/8
9 (Euler class)
Caleb
11/11
11 (Computations - before Poincare duality)
Gustavo
11/13 - 11/15
11 (after Poincare duality)
Mario
11/18
13 (Obstructions)
Danyu
11/20



Homework: