Topological dynamics on moduli spaces II

被引：12

作者：

Previte, JP ^{[1
]}

Xia, EZ

机构：

[1] Penn State Univ, Behrend Coll, Sch Sci, Erie, PA 16563 USA

[2] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 354卷 / 06期

关键词：

fundamental group of a surface; mapping class group; Dehn twist; topological dynamics; moduli spaces;

D O I：

10.1090/S0002-9947-02-02961-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be an orientable genus g >0 surface with boundary partial derivativeM. Let be the mapping class group of M fixing partial derivativeM. The group Gamma acts on M-C = Hom(C) (pi(1)(M); SU(2))/SU(2); the space of SU(2)-gauge equivalence classes of at SU(2)-connections on M with fixed holonomy on partial derivativeM. We study the topological dynamics of the and give conditions for the individual to be dense in M-C.

引用

页码：2475 / 2494

页数：20

共 10 条

[1] The topology of the relative character varieties of a quadruply-punctured sphere [J].

Benedetto, RL ;

Goldman, WM .

EXPERIMENTAL MATHEMATICS, 1999, 8 (01) :85-103

[2]

CONWAY J., 1976, Acta Arith., V30, P229, DOI DOI 10.4064/AA-30-3-229-240

[3] The monodromy groups of Schwarzian equations on closed Riemann surfaces [J].

Gallo, D ;

Kapovich, M ;

Marden, A .

ANNALS OF MATHEMATICS, 2000, 151 (02) :625-704

[4] Ergodic theory on moduli spaces [J].

Goldman, WM .

ANNALS OF MATHEMATICS, 1997, 146 (03) :475-507

[5] THE SYMPLECTIC NATURE OF FUNDAMENTAL-GROUPS OF SURFACES [J].

GOLDMAN, WM .

ADVANCES IN MATHEMATICS, 1984, 54 (02) :200-225

[6] CHARACTERS OF FREE GROUPS REPRESENTED IN 2-DIMENSIONAL SPECIAL LINEAR GROUP [J].

HOROWITZ, RD .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1972, 25 (06) :635-649

[7]

JEFFREY L, 1992, COMMUN MATH PHYS, V150, P595

[8] RINGS OF FRICKE CHARACTERS AND AUTOMORPHISM-GROUPS OF FREE GROUPS [J].

MAGNUS, W .

MATHEMATISCHE ZEITSCHRIFT, 1980, 170 (01) :91-103

[9] Topological dynamics on moduli spaces, I [J].

Previte, JP ;

Xia, EZ .

PACIFIC JOURNAL OF MATHEMATICS, 2000, 193 (02) :397-417

[10]

SESHADRI CS, 1982, ASTERISQUE, P3

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