46 citations · 53 across the 7 of their papers we have counts for
7 papers
Instantons and multibananas: Relating elliptic genus and cohomological Donaldson-Thomas theory
Oliver Leigh
In this article the cohomological Donaldson-Thomas theory of local multibanana threefolds is computed using Descombes' hyperbolic localisation formula. The resulting expression is…
The Blowup Formula for the Instanton Part of Vafa-Witten Invariants on Projective Surfaces
Nikolas Kuhn, Oliver Leigh, Yuuji Tanaka
We prove a blow-up formula for the generating series of virtual -genera for moduli spaces of sheaves on projective surfaces, which is related to a conjectured formula for topo…
Explicit Moduli of Superelliptic Curves with Level Structure
Olof Bergvall, Oliver Leigh
In this article we give an explicit construction of the moduli space of trigonal superelliptic curves with level 3 structure. The construction is given in terms of point sets on th…
The -ELSV Formula via Localisation on the Moduli Space of Stable Maps with Divisible Ramification
Oliver Leigh
The moduli space of stable maps with divisible ramification uses -th roots of a canonical ramification section to parametrise stable maps whose ramification orders are divisible…
Unweighted Donaldson-Thomas theory of the banana 3-fold with section classes
Oliver Leigh
We further the study of the Donaldson-Thomas theory of the banana threefolds which were recently discovered and studied in [Bryan'19]. These are smooth proper Calabi-Yau threefolds…
The Moduli Space of Stables Maps with Divisible Ramification
Oliver Leigh
We develop a theory for stable maps to curves with divisible ramification. For a fixed integer , we show that the condition of every ramification locus being divisible by …
Orbifold Hurwitz numbers and Eynard-Orantin invariants
Norman Do, Oliver Leigh, Paul Norbury
We prove that a generalisation of simple Hurwitz numbers due to Johnson, Pandharipande and Tseng satisfy the topological recursion of Eynard and Orantin. This generalises the Bouch…