Summer 2026

Units

• Unit 0: Introduction
• Unit 1: Gauss Bonnet
• Unit 2: Poincare Hopf
• Unit 3: Index expectation
• Unit 4: Euler's Gem
• Unit 5: Euler Poincare
• Unit 6: Unimodularity
• Unit 7: Brouwer Lefschetz
• Unit 8: Sphere formula
• Unit 9: Level sets
• Unit 10: Index formula
• Unit 11: Quadratic cohomology
• Unit 12: Higher Green

Footnotes and References

• Footnotes

Appendices

• Appendix 0: Graphs
• Appendix 1: Sets
• Appendix 2: Complexes
• Appendix 3: Linear algebra
• Appendix 4: Topology
• Appendix 5: Homotopy
• Appendix 6: Calculus