Browsing Pure & Applied Mathematics (Scholarly Publications) by Author "Manschot, Jan"
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The Coulomb branch formula for quiver moduli spaces
Manschot, Jan (2017)In recent series of works, by translating properties of multicent 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 DonaldsonThomas ... 
Multiple D3instantons and mock modular forms II
Manschot, Jan (2017)We analyze the modular properties of D3brane instanton correct ions to the hy permultiplet moduli space in type IIB string theory compactified on a CalabiYau 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 semistable sheaves on the p rojective plane P 2 with arbitrary rank r and Chern classes. This ...