# MATRIX 2019 Interactions: Questions

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# [[Non-orientable quotients of the product of two 2-spheres by Z/4Z]] | # [[Non-orientable quotients of the product of two 2-spheres by Z/4Z]] | ||

# [[Concordance implies isotopy for smooth structures on 3-manifolds?]] | # [[Concordance implies isotopy for smooth structures on 3-manifolds?]] | ||

− | + | # [[Polytope invariant of a manifold]] | |

+ | # [[Borel Conjecture for compact aspherical 4-manifolds]] | ||

+ | # [[Embedding homology 3-spheres in the 4-sphere]] | ||

+ | # [[Trisection genus]] | ||

== General Questions == | == General Questions == | ||

# [[Prime decomposition theorem in high dimensions]] | # [[Prime decomposition theorem in high dimensions]] |

## Revision as of 15:29, 14 January 2019

This page lists the problems posed during the MATRIX 2019 Interactions meeting.

Participants are encouraged to work on researching, refining and even solving the problems.

## 1 Research Questions

- Non-orientable quotients of the product of two 2-spheres by Z/4Z
- Concordance implies isotopy for smooth structures on 3-manifolds?
- Polytope invariant of a manifold
- Borel Conjecture for compact aspherical 4-manifolds
- Embedding homology 3-spheres in the 4-sphere
- Trisection genus