Class/Seminar Notes

Differential Topology:

1. Differential Topology (Etnyre class notes, 2020)
2. Undergraduate Differential Geometry (Etnyre class notes, 2020)
3. Morse theory and handlebodies (Etnyre PCMI notes, 2019)
4. Lecture Notes on Differential Geometry (Ghomi class notes, 2018)
5. Open problems in geometry of curves and surfaces (Ghomi problem list, last updated 2017)

Algebraic Topology:

1. Topics course in algebraic topology (Etnyre class notes, 2022)
2. Undergraduate algebraic topology with an emphasis on geometric group theory (Etnyre class notes, 2021)
3. Algebraic Topology (Etnyre class notes, 2021)
4. Undergraduate algebraic topology with an emphasis on knot theory (Etnyre class notes, 2019)
5. Stable Homotopy Theory (Wickelgren class notes, 2015)
6. Characteristic Classes for Vector Bundles and Surface Bundles (Margalit class notes, 2013)
7. Algebraic Topology (Margalit class notes, 2012)
8. Hodge theory (Etnyre working seminar notes, 2006)

Low-dimensional topology:

1. Knots, 3-manifolds, and 4-manifolds (Hom class notes, notes by S. Knavel, 2023)
2. Exotic smooth structures on open 4-manifolds (Etnyre working seminar notes, 2022)
3. 3-Manifold Topology (Etnyre class notes, 2021)
4. Knot Theory and 4-Manifolds (Etnyre’s notes from Lisa Piccirillo’s mini-course at TTSS 2021)
5. Topological 4-manifolds (Etnyre’s notes from Aru Ray’s mini-course at TTSS 2021)
6. The geography problem and constructing exotic 4-manifolds (Etnyre’s notes from András Stipsicz’s mini-course at TTSS 2021)
7. Homology cobordism, knot concordance, and Heegaard Floer homology (Hom survey paper, 2021)
8. Geometric Group Theory (Margalit class notes, 2021)
9. Mapping Class Groups (Margalit class notes, 2020)
10. Lectures notes on Heegaard Floer homology (Hom PCMI notes, 2020)
11. Knot theory and grid homology (Hom class notes, 2020)
12. Geometric structures of surfaces (Strenner class notes, 2019)
13. Torelli Groups (Margalit class notes, 2018)
14. Branched covers (Etnyre working seminar notes, 2018)
15. Corks (Etnyre working seminar, 2016)
16. A survey on Heegaard Floer homology and concordance (Hom survey article, 2015)
17. Monoids in the mapping class group (Etnyre and Van Horn-Morris survey article, 2015)
18. Hyperbolic 3-manifolds and the geometry of the curve complex (Margalit class notes, 2014)
19. Fibrations and Sutured Manifolds (Etnyre working seminar notes, 2013)
20. Knot theory (Margalit class notes, 2009)
21. Finite type invariants of 3-manifolds (Le survey article, 2006)
22. Lectures on the LMO invariant (Le survey article, 1999)

Symplectic and Contact Geometry:

1. Three dimensional contact geometry (Etnyre, class notes 2024_
2. Contact Topology and Riemannian Geometry (Etnyre, working seminar notes 2024)
3. Legendrian contact homology in R^3 (Etnyre and Ng survey article, 2018)
4. Symplectic Geometry (Etnyre class notes, 2018)
5. Survey talk on open books decompositions (Etnyre survey talk, 2009)
6. Lectures on contact geometry in low-dimensional topology (Etnyre PCMI notes, 2006)
7. Invariants of Knots, Embeddings and Immersions via Contact Geometry (Ekholm and Etnyre survey article, 2005)
8. Lectures on open book decompositions and contact structures (Etnyre lecture notes, 2004)
9. Convex surfaces (Etnyre class notes, 2004)
10. Introductory Lectures on Contact Geometry (Etnyre lecture notes, 2003)
11. Legendrian and Transversal Knots (Etnyre survey article, 2003)
12. Problems in Low Dimensional Contact Topology (Etnyre and Ng problem list, 2003)
13. Symplectic convexity in low-dimensional topology (Etnyre survey article, 1998)