Browsing Pure & Applied Mathematics by Author "Manschot, Jan"

Now showing items 1-5 of 5

    • 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 ...