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

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 1 2012

Fingerprint

Keywords

Rational homotopy type
muduli space of representations
representations with Borel mold

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

Nakamoto, K., & Torii, T. (2012). Rational homotopy type of the moduli of representations with Borel mold. Forum Mathematicum, 24(3), 507-538. https://doi.org/10.1515/form.2011.071

@article{6ffc1b86bb534454bb181e3b1d7c4909,

title = "Rational homotopy type of the moduli of representations with Borel mold",

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.",

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

author = "Kazunori Nakamoto and Takeshi Torii",

year = "2012",

month = may

day = "1",

doi = "10.1515/form.2011.071",

language = "English",

volume = "24",

pages = "507--538",

journal = "Forum Mathematicum",

issn = "0933-7741",

publisher = "Walter de Gruyter GmbH & Co. KG",

number = "3",

}

TY - JOUR

T1 - Rational homotopy type of the moduli of representations with Borel mold

AU - Nakamoto, Kazunori

AU - Torii, Takeshi

PY - 2012/5/1

Y1 - 2012/5/1

N2 - 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.

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

KW - muduli space of representations

KW - representations with Borel mold

UR - http://www.scopus.com/inward/record.url?scp=84859014050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859014050&partnerID=8YFLogxK

U2 - 10.1515/form.2011.071

DO - 10.1515/form.2011.071

M3 - Article

AN - SCOPUS:84859014050

VL - 24

SP - 507

EP - 538

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 3

ER -

Access to Document

10.1515/form.2011.071