# Regensburg Surgery Blockseminar 2012: Exercises

From Manifold Atlas

This page lists the exercises for consideration during the Blockseminar. Participants are encouraged submit exercises related to their own talks and to work on solutions to all exercises.

## Contents |

## [edit] 1 [A] Talks 1-3

- Handlebody decompositions of bordisms (Ex)
- Elementary matricies (Ex)
- Whitehead torsion (Ex)
- Whitehead torsion II (Ex)
- Whitehead torsion III (Ex)
- Whitehead torsion IV (Ex)
- Whitehead torsion V (Ex)

## [edit] 2 [B] Talks 4&5

- Poincaré duality (Ex)
- Poincaré duality II (Ex)
- Poincaré duality III (Ex)
- Poincaré duality IV (Ex)
- Spivak normal fibration (Ex)

## [edit] 3 [C] Talks 6-8

- Bundle structures and lifting problems (Ex)
- Normal bordism - definitions (Ex)
- Thom spaces (Ex)
- Cell attachments for surgery (Ex)
- Regular homotopy group of immersions (Ex)
- Normal maps and submanifolds (Ex)
- Immersing n-spheres in 2n-space (Ex)
- Sphere bundles and spin (Ex)

## [edit] 4 [D] Talks 9-11

- Homology braid II (Ex)
- Heegaard splittings (Ex)
- Kernel formation (Ex)
- Middle-dimensional surgery kernel (Ex)
- Even dimensional surgery obstruction (Ex)
- Presentations (Ex)
- Quadratic formations (Ex)