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Results tagged with configuration-spaces
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user 318
for questions on configuration spaces, both in the sense of spaces that parameterizes collections of points in a manifold, and in the sense of the space of possible states of a classical mechanical physical system.
11
votes
Accepted
Relation between cohomology of ordered and unordered configuration spaces?
If $F_n(M)$ denotes the ordered configuration space and $C_n(M)$ the unordered configuration space, the quotient map gives a map
$$H^*(C_n(M)) \longrightarrow H^*(F_n(M)).$$
If one takes rational coef …
- 18.2k
7
votes
Accepted
Mixed Hodge structure on configuration spaces
In fact the conclusion in Gorinov's paper seems to be false, see
E. Looijenga, "Torelli group action on the configuration space of a surface", arXiv:2008.10556
- 18.2k