Suppose X is a compact symplectic manifold acted on by a compact Lie group K (which may be nonabelian) in a Hamiltonian fashion, with moment map Î¼ : X â†’ Lie(K)âˆ— and Marsden-Weinstein reduction MX = Î¼â€¦ (More)

The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many importantâ€¦ (More)

Let M(n, d) denote the moduli space of stable holomorphic vector bundles of coprime rank n and degree d over a fixed Riemann surface Î£ of genus g â‰¥ 2. Let Î› be a fixed line bundle over Î£ of degree dâ€¦ (More)

Let K be an algebraically closed field, X a K-scheme, and X(K) the set of closed points in X. A constructible set C âŠ† X(K) is a finite union of subsets Y (K) for finite type K-subschemes Y in X. Aâ€¦ (More)

Moduli spaces arise in classification problems in algebraic geometry (and other areas of geometry) when, as is typically the case, there are not enough discrete invariants to classify objects up toâ€¦ (More)

Let X be any nonsingular complex projective variety with a linear action of a complex reductive group G, and let X and X be the sets of semistable and stable points of X in the sense of Mumfordâ€™sâ€¦ (More)

Atiyah and Bott used equivariant Morse theory applied to the Yangâ€“Mills functional to calculate the Betti numbers of moduli spaces of vector bundles over a Riemann surface, rederiving inductiveâ€¦ (More)

The cohomology of the moduli space L(n, d) of semistable bundles of coprime rank n and degree d over a fixed Riemann surface M of genus g ~ 2 has been much studied over the last two decades, and aâ€¦ (More)

The cohomology of M(n, d), the moduli space of stable holomorphic bundles of coprime rank n and degree d and fixed determinant, over a Riemann surface Î£ of genus g â‰¥ 2, has been widely studied andâ€¦ (More)