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Rational homotopy type of the moduli of representations with Borel mold

  • Kazunori Nakamoto EMAIL logo and Takeshi Torii
Published/Copyright: May 1, 2012
Forum Mathematicum
From the journal Volume 24 Issue 3

Abstract.

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.

Received: 2009-05-15
Revised: 2010-05-15
Published Online: 2012-05-01
Published in Print: 2012-May

© 2012 by Walter de Gruyter Berlin Boston

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