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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Cohen, Frederick R. / Droste, Manfred / Darmon, Henri / Duzaar, Frank / Echterhoff, Siegfried / Gordina, Maria / Neeb, Karl-Hermann / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

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Volume 24, Issue 3


Rational homotopy type of the moduli of representations with Borel mold

Kazunori Nakamoto / Takeshi Torii
Published Online: 2012-05-01 | DOI: https://doi.org/10.1515/form.2011.071


In this note we study the rational homotopy types of the moduli space of representations with Borel mold for free monoid and related varieties. The moduli space has a fiber bundle structure over the configuration space in the affine space. We show that the minimal model of the moduli space with mixed Hodge structure is equivalent to the tensor product of minimal models of the configuration space and of the fiber.

Keywords: Rational homotopy type; muduli space of representations; representations with Borel mold

About the article

Received: 2009-05-15

Revised: 2010-05-15

Published Online: 2012-05-01

Published in Print: 2012-05-01

Citation Information: Forum Mathematicum, Volume 24, Issue 3, Pages 507–538, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/form.2011.071.

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© 2012 by Walter de Gruyter Berlin Boston.Get Permission

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