Rational cohomology of the real Coxeter toric variety of type A - Mathematics > Representation TheoryReport as inadecuate




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Abstract: The toric variety corresponding to the Coxeter fan of type A can also bedescribed as a De Concini-Procesi wonderful model. Using a general result ofRains which relates cohomology of real De Concini-Procesi models to posethomology, we give formulas for the Betti numbers of the real toric variety, andthe symmetric group representations on the rational cohomologies. We also showthat the rational cohomology ring is not generated in degree 1.



Author: Anthony Henderson

Source: https://arxiv.org/







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