L. Gottsche

activity

19942022

most citedA conjectural generating function for numbers of curves on surfaces

140 citations · 603 across the 27 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.AG2021★ 1 cited

Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants

Lothar Göttsche

We formulate conjectural blowup formulas for Segre and Verlinde numbers on moduli spaces of sheaves on projective surfaces $S$ with $p_{g} (S) > 0$ and $b_{1} (S) = 0$ . As applications we gi…

math.AG2021★ 4 cited

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

L. Göttsche, M. Kool, T. Laarakker

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 structu…

Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants

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

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