Symmetric products of a real curve and the moduli space of Higgs bundles

DOI10.1016/j.geomphys.2018.01.003zbMath1390.14100arXiv1611.09636OpenAlexW2963656728MaRDI QIDQ1704616

Thomas John Baird

Publication date: 12 March 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09636

zbMATH Keywords

spectral sequencesBetti numbersanti-holomorphic involutionsmoduli spaces of Higgs bundlessymmetric products of a curve

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Relationships between algebraic curves and integrable systems (14H70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

E-polynomials of character varieties for real curves ⋮ Singular geometry and Higgs bundles in string theory ⋮ Aspects of the topology and combinatorics of Higgs bundle moduli spaces

Cites Work

• Real structures on moduli spaces of Higgs bundles
• The mod 2 cohomology of fixed point sets of anti-symplectic involutions
• Branes and quantization
• Homology of symmetric products and other functors of complexes
• Fixed points and torsion on Kähler manifolds
• Electric-magnetic duality and the geometric Langlands program
• Strong convergence of the Eilenberg-Moore spectral sequence
• Real points of coarse moduli schemes of vector bundles on a real algebraic curve
• On the motives of moduli of chains and Higgs bundles
• The moduli space of stable vector bundles over a real algebraic curve
• On manifolds satisfying \(w_ 1^ 2=0\)
• Symmetric products of an algebraic curve
• Moduli Spaces of Vector Bundles over a Real Curve: ℤ/2-Betti Numbers
• On The Homotopy Type of 𝐵𝐺 for Certain Finite 2-Groups 𝐺
• The Self-Duality Equations on a Riemann Surface
• THE BETTI NUMBERS OF THE MODULI SPACE OF STABLE RANK 3 HIGGS BUNDLES ON A RIEMANN SURFACE
• Symmetric Products of Equivariantly Formal Spaces
• Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution
• The Yang-Mills equations over Klein surfaces
• Real algebraic curves
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