topology of the diffeomorphism groupby electroweak Tags: diffeomorphism, diffeomorphism group, isotopy, path component, topology 

#1
Feb2512, 07:19 PM

P: 41

I would like to study the path components (isotopy classes) of the diffeomorphism group of some compact Riemann surface. To make sense of path connectedness, I require a notion of continuity; hence, I require a notion of an open set of diffeomorphisms. What sort of topology should I put on the diffeomorphism group?




#2
Feb2512, 08:20 PM

Mentor
P: 4,499



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