This is the webpage for my Spring 2019 "topics in topology" class (Math 641), which is on the topic of ** factorization homology**.

A course outline is here.

contact: usc.edu@aaron.mazelgee

lectures: TuTh 12:30-1:45pm in KAP 427

office hours: directly after lecture and by appointment

The earlier homework problems are collected here. (There are a few more scattered throughout the later lecture notes, which may be added here eventually.)

__lecture notes__

1. the idea of factorization homology

2. the Dold--Thom theorem

3. singular homology

4. simplicial sets and geometric realization

5. model categories

6. the Dold--Kan correspondence

7. homotopy limits and colimits

8. ∞-categories

9. factorization homology

10. Hochschild homology

11. homology theories for manifolds

12. factorization homology with commutative coefficients

13. factorization homology with free coefficients [notes may appear eventually]

14. nonabelian Poincare duality

15. factorization homology with universal enveloping coefficients

Poincaré/Koszul duality -- see here (starting at page 14)