Výsledky vyhledávání - "Kirwan, Frances C."

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Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations

Autor: Jeffrey, Lisa C., Kiem, Young-Hoon, Kirwan, Frances C., Woolf, Jonathan

This paper studies intersection theory on the compactified moduli space M(n,d) of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface of genus g > 1 where n and d may have common factors. Because of the presence of singula

Externí odkaz: http://arxiv.org/abs/math/0505362

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Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface

Autor: Jeffrey, Lisa C., Kirwan, Frances C.

We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g gr

Externí odkaz: http://arxiv.org/abs/alg-geom/9608029

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On localization and Riemann-Roch numbers for symplectic quotients

Autor: Jeffrey, Lisa C., Kirwan, Frances C.

Publikováno v: Quart. J. Math. 47 (1996) 165-185

Suppose $(M,\omega)$ is a compact symplectic manifold acted on by a compact Lie group $K$ in a Hamiltonian fashion, with moment map $\mu: M \to \Lie(K)^*$ and Marsden-Weinstein reduction $M_{red} = \mu^{-1}(0)/K$. In this paper, we assume that $M$ ha

Externí odkaz: http://arxiv.org/abs/alg-geom/9506007

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