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In [7] it was shown that if n is the fundamental group of a closed oriented surface S and G is Lie group satisfying very general conditions, then the space Hom(n, G)/G of conjugacy classes of representation n-+G has a natural symplectic structure. This symplectic structure generalizes the Weil-Petersson Kahler form on Teichmiiller space (taking G= PSL(2,… (More)

Let S be a closed oriented surface of genus g > 1 and let ~r denote its fundamental group. Let G be a semisimple Lie group. The purpose of this paper is to investigate the global properties of the space Hom(rc, G) of all representations n~G, when G is locally isomorphic to either PSL(2, C) or PSL(2, R). The main results of this paper may be summarized as… (More)

A symplectic structure on a manifold is a closed nondegenerate exterior 2-form. The most common type of symplectic structure arises on a complex manifold as the imaginary part of a Hermitian metric which is Klhler. Many moduli spaces associated with Riemann surfaces have such Kahler structures: the Jacobi variety, Teichmiiller space, moduli spaces of stable… (More)

The deformation theory of representations of fundamental groups of compact Kähler manifolds Publications mathématiques de l'I. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques Abstract. — Let F be the fundamental group of a compact Kahler manifold M and let G be a real algebraic Lie group. Let 9l(r, G) denote the… (More)

- Suhyoung Choi, William M. Goldman, SUHYOUNG CHOI
- 2008

Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Each copy of any part of a JSTOR transmission must contain the same copyright notice that… (More)

- Robert L. Benedetto, William M. Goldman
- Experimental Mathematics
- 1999

Let M be a quadruply-punctured sphere with boundary components A; B; C; D. The SL(2; C)-character variety of M consists of equivalence classes of homomorphisms of 1 (M) ?! SL(2; C) and can be identiied with a quartic hypersurface in C 7. corresponding to representations with tr((A)) = a, tr((B)) = b, tr((C)) = c, tr((D)) = d is a cubic surface in C 3. We… (More)

Deformation spaces Hom(π, G)/G of representations of the fundamental group π of a surface Σ in a Lie group G admit natural actions of the mapping class group Mod Σ , preserving a Poisson structure. When G is compact, the actions are ergodic. In contrast if G is noncompact semisimple, the associated deformation space contains open subsets containing the… (More)

The space of inequivalent representations of a compact surface S with χ(S) < 0 as a quotient of a convex domain in RP 2 by a properly dis-continuous group of projective transformations is a cell of dimension The purpose of this paper is to investigate convex real projective structures on compact surfaces. Let RP 2 be the real projective plane and PGL(3, R)… (More)

Let M be a compact surface with (M) < 0 and let G be a compact Lie group whose Levi factor is a product of groups locally isomorphic to SU(2) (for example SU(2)). Then the map

- G J Wise, W M Goldman, P E Goldberg, R G Rothenberg
- The Journal of urology
- 1987

Miconazole was used as a fungistatic genitourinary irrigant in the management of 10 patients with persistent candiduria. All patients were in the older age group, with a mean age of 77.6 years, and they were debilitated by a variety of medical problems, including major surgery, neoplasia, recurrent bacterial infection, diabetes or other metabolic… (More)