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  • The Coulomb branch formula for quiver moduli spaces 

    Manschot, Jan (2017)
    In recent series of works, by translating properties of multi-cent ered supersymmetric black holes into the language of quiver representations, we proposed a f ormula that expresses the Hodge numbers of the moduli space ...
  • Indefinite theta series and generalised error functions 

    Manschot, Jan (2018)
    Theta series for lattices with indefinite signature ( n + ,n − ) arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their mod- ular properties are well understood ...
  • Intersection cohomology of moduli spaces of sheaves on surfaces 

    Manschot, Jan (2018)
    We study intersection cohomology of moduli spaces of semist able vector bundles on a complex algebraic surface. Our main result relates inte rsection Poincar ́e polynomials of the moduli spaces to Donaldson-Thomas ...
  • Multiple D3-instantons and mock modular forms II 

    Manschot, Jan (2017)
    We analyze the modular properties of D3-brane instanton correct ions to the hy- permultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for ...
  • Sheaves on P2 and generalised Appell functions 

    Manschot, Jan (2017)
    A closed expression is given for the generating function of ( virtual) Poincaré polynomials of moduli spaces of semi-stable sheaves on the p rojective plane P 2 with arbitrary rank r and Chern classes. This ...