ALGEBRAIC TOPOLOGY I.

office: 713 Van Vleck
e-mail: maxim@math.wisc.edu
office hours: Tue 3-4pm, Thu 11am-noon

CLASS SCHEDULE: TuTh 1:00PM-2:15PM, Room B235 Van Vleck.

CLASS HOMEPAGE: http://www.math.wisc.edu/~maxim/753f13.html

DESCRIPTION:

1. higher homotopy groups, fibrations, spectral sequences,
2. bundle theory, classifying spaces, vector bundles,
3. characteristic classes, applications and calculations.

READING SOURCES:

• Allen Hatcher: Algebraic Topology, available here.
• Allen Hatcher: Spectral Sequences in Algebraic Topology, available here.
• James Davis, Paul Kirk: Lecture Notes in Algebraic Topology
• John Milnor, Jim Stasheff: Characteristic Classes

GRADE:

Based on homework and participation in class.
As part of class participation, each student is expected to type up a week worth of lecture notes.

HOMEWORK:

The following problem sets will be discussed in class with student participation:

• Set 1: Homotopy theory
  
• Set 2: Spectral Sequences
  
• Set 3: Characteristic classes