SU (r) Vafa–Witten invariants, Ramanujan's continued fractions, and cosmic strings

L Göttsche, M Kool, T Laarakker - arXiv preprint arXiv:2108.13413, 2021 - projecteuclid.org
We conjecture a structure formula for the SU (r) Vafa–Witten partition function for surfaces
with holomorphic 2-form. The conjecture is based on S-duality and a structure formula for the …

Instantons and multibananas: Relating elliptic genus and cohomological Donaldson-Thomas theory

O Leigh - arXiv preprint arXiv:2404.16018, 2024 - arxiv.org
In this article the cohomological Donaldson-Thomas theory of local multibanana threefolds
is computed using Descombes' hyperbolic localisation formula. The resulting expression is …