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This paper by Fishel-Grojnowski-Teleman shows that the "loop Grassmannian" G((z))/G[[z]] is formally smooth, but does not satisfy Hodge decomposition, hence is not smooth:
http://arxiv.org/abs/math.AG/0411355
This paper by Fishel-Grojnowski-Teleman shows that the "loop Grassmannian" is formally smooth, but does not satisfy Hodge decomposition, hence is not smooth:
http://arxiv.org/abs/math.AG/0411355
This paper by Fishel-Grojnowski-Teleman shows that the "loop Grassmannian" G((z))/G[[z]] is formally smooth, but does not satisfy Hodge decomposition, hence is not smooth:
http://arxiv.org/abs/math.AG/0411355
This paper by Fishel-Grojnowski-Teleman shows that the "loop Grassmannian" is formally smooth, but does not satisfy Hodge decomposition, hence is not smooth:
http://arxiv.org/abs/math.AG/0411355
