MATRIX 2019 Interactions: Exercises
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# [[Three dimensional Heisenberg group (Ex)]] | # [[Three dimensional Heisenberg group (Ex)]] | ||
# [[Circle actions on 3-manifolds (Ex)]] | # [[Circle actions on 3-manifolds (Ex)]] | ||
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| + | === Lecture 2: An introduction to hyperbolic groups === | ||
| + | # [[Torsion-free solvable hyperbolic groups (Ex)]] | ||
| + | # [[Fundamental groups of surfaces (Ex)]] | ||
| + | # [[Minimal dimension of BG (Ex)]] | ||
| + | # [[Extensions of groups (Ex)]] | ||
| + | # [[Boundaries of Fuchsian groups (Ex)]] | ||
== Invariants of knots from Heegaard Floer homology == | == Invariants of knots from Heegaard Floer homology == | ||
[[Category:MATRIX 2019 Interactions]] | [[Category:MATRIX 2019 Interactions]] | ||
Revision as of 09:20, 6 January 2019
This page lists the exercises for consideration during the MATRIX 2019 Interactions meeting.
Participants are encouraged to work on the exercises and contribute solutions on the discussion page.
Contents |
1 Surgery: high-d methods in low-d
2 The (stable) Cannon Conjecture
2.1 Lecture 1: An introduction to 3-manifolds
- Betti numbers of 3-manifolds (Ex)
- Non-prime solvable fundamental groups (Ex)
- Atoroidal 3-manifolds (Ex)
- Three dimensional Heisenberg group (Ex)
- Circle actions on 3-manifolds (Ex)
2.2 Lecture 2: An introduction to hyperbolic groups
- Torsion-free solvable hyperbolic groups (Ex)
- Fundamental groups of surfaces (Ex)
- Minimal dimension of BG (Ex)
- Extensions of groups (Ex)
- Boundaries of Fuchsian groups (Ex)
