MATRIX 2019 Interactions: Exercises

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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-manfiolds

  1. Betti numbers of 3-manifolds (Ex)
  2. Non-prime solvable fundamental groups (Ex)
  3. Atoroidal 3-manifolds (Ex)
  4. Three dimensional Heisenberg group (Ex)
  5. Circle actions on 3-manifolds (Ex)

3 Invariants of knots from Heegaard Floer homology

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