
Abstract 
1 
Introduction 
2 
A Minihistory of Midisuperspaces 

2.1 
Symmetry reductions in
classical and quantum general relativity 

2.2 
Superspace 

2.3 
Minisuperspaces 

2.4 
Midisuperspaces 
3 
Quantization(s) 

3.1 
Reduced
phasespace quantization 

3.2 
Dirac quantization 

3.3 
Quantization with
partial gauge fixing 

3.4 
Path integral quantization 

3.5 
Symmetry reductions
and quantization 
4 
Midisuperspaces: Classical Aspects 

4.1 
OneKilling
vector reductions 

4.2 
TwoKilling vector reductions 

4.3 
Spherical
symmetry 
5 
Midisuperspaces: Quantization 

5.1 
Quantization of oneKilling
vector reductions 

5.2 
Quantization of twoKilling vector reductions 

5.3 
Sphericallysymmetric
midisuperspace 
6 
Conclusions, Open Issues and Future Problems 
7 
Acknowledgements 

References 