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Graph cohomologies and rational homotopy type of configuration spaces

Marcel Bökstedt & Erica Minuz present new results on arXiv

2019.05.20 | Jane Jamshidi

Professor Marcel Bökstedt and PhD student Erica Minuz has jointly recently submitted a new result on arXiv

In the paper "Graph cohomologies and rational homotopy type of configuration spaces" they compare the cohomology complex defined by Baranovsky and Sazdanović, that is the E1 page of a spectral sequence converging to the homology of the configuration space depending on a graph, with the rational model for the configuration space given by Kriz and Totaro. In particular they generalize the rational model to any graph and to an algebra over any field. They show that the dual of the Baranovsky and Sazdanović's complex is quasi equivalent to this generalized version of the Kriz's model.

Link to the paper on arXiv: https://arxiv.org/abs/1904.01452