Indecomposable vector bundles and stable Higgs bundles over smooth projective curves

DOI10.4007/annals.2016.183.1.6zbMath1342.14076arXiv1406.3839OpenAlexW2267615388MaRDI QIDQ5962629

Olivier Schiffmann

Publication date: 15 February 2016

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3839

zbMATH Keywords

stacksBetti numbersHiggs bundlesvector bundles on curves

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Vector bundles on curves and their moduli (14H60)

Related Items

INTERSECTION COHOMOLOGY OF THE MODULI SPACE OF HIGGS BUNDLES ON A GENUS 2 CURVE, Number of irreducible \(\ell\)-adic local systems on a curve, Vertex operators and character varieties, A support theorem for the Hitchin fibration, On the Voevodsky motive of the moduli space of Higgs bundles on a curve, Virtual classes of parabolic \(\operatorname{SL}_2(\mathbb{C})\)-character varieties, A lax monoidal topological quantum field theory for representation varieties, Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures), Generating series for the E‐polynomials of GL(n,C)$GL(n,{\mathbb {C}})$‐character varieties, BPS cohomology for rank 2 degree 0 Higgs bundles (and more), Intersection cohomology of character varieties for punctured Riemann surfaces, Sheaves on non-reduced curves in a projective surface, Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers, THE HALL ALGEBRAS OF SURFACES I, Cohomological \(\chi\)-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles, Some Betti numbers of the moduli of 1-dimensional sheaves on \(\mathbb{P}^2\), E-Polynomials of Generic -Character Varieties: Branched Case, On Hodge polynomials of singular character varieties, Twisted spectral correspondence and torus knots, Motivic Donaldson-Thomas invariants of parabolic Higgs bundles and parabolic connections on a curve, Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups, Unnamed Item, Quiver bundles and wall crossing for chains, BPS states, torus links and wild character varieties, Parallels between moduli of quiver representations and vector bundles over curves, Aspects of the topology and combinatorics of Higgs bundle moduli spaces, The quiver at the bottom of the twisted nilpotent cone on \(\mathbb P^1\), Hodge-Deligne polynomials of character varieties of free abelian groups, Counting Higgs bundles and type quiver bundles, Kac Polynomials for Canonical Algebras

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