Rational homotopy type of the moduli of representations with Borel mold

Kazunori Nakamoto; Takeshi Torii

doi:10.1515/form.2011.071

Rational homotopy type of the moduli of representations with Borel mold

Kazunori Nakamoto, Takeshi Torii

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	507-538
Number of pages	32
Journal	Forum Mathematicum
Volume	24
Issue number	3
DOIs	https://doi.org/10.1515/form.2011.071
Publication status	Published - May 2012

Keywords

Rational homotopy type
muduli space of representations
representations with Borel mold

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1515/form.2011.071

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keywords = "Rational homotopy type, muduli space of representations, representations with Borel mold",

author = "Kazunori Nakamoto and Takeshi Torii",

note = "Funding Information: The first author was partially supported by Grant-in-Aid for Young Scientists (B) (No. 19740007) from MEXT. The second author was partially supported by Grant-in-Aid for Scientific Research (C) (No. 19540106) from JSPS.",

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AB - 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.

KW - Rational homotopy type

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KW - representations with Borel mold

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Rational homotopy type of the moduli of representations with Borel mold

Abstract

Keywords

ASJC Scopus subject areas

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