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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Articles in the same Issue
- Masthead
- -variable fractals: dimension results
- Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
- Phylogenetic analysis and homology
- Rational homotopy type of the moduli of representations with Borel mold
- Transcendence of special values of quasi-modular forms
- Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
- Infinite-dimensional supermanifolds over arbitrary base fields
- Weyl and Zariski chambers on K3 surfaces
- The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
- Solving algebraic equations in roots of unity
Keywords for this article
Rational homotopy type;
muduli space of representations;
representations with Borel mold
Articles in the same Issue
- Masthead
- -variable fractals: dimension results
- Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
- Phylogenetic analysis and homology
- Rational homotopy type of the moduli of representations with Borel mold
- Transcendence of special values of quasi-modular forms
- Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
- Infinite-dimensional supermanifolds over arbitrary base fields
- Weyl and Zariski chambers on K3 surfaces
- The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
- Solving algebraic equations in roots of unity