Brian O'Callaghan

collaborators

2 papers

math.CO2025

Tropicalising hypergeometric $I ¨ $ -functions

Marvin Anas Hahn, Brian O'Callaghan, Jonas Wahl

Weighted Hurwitz numbers arise as coefficients in the power sum expansion of deformed hypergeometric $I ¨ $ --functions. They specialise to essentially all known cases of Hurwitz numb…

math.AT2024

Non-Formality of $S^{2}$ via the free loop space

Ryan McGowan, Florian Naef, Brian O'Callaghan

We show that the $E_{1}$ -equivalence $C^{∙} (S^{2}) ≃ H^{∙} (S^{2})$ does not intertwine the inclusion of constant loops into the free loop space $S^{2} \to L S^{2}$ . That is, the…

Tropicalising hypergeometric I¨-functions

Non-Formality of S2 via the free loop space

Tropicalising hypergeometric $I ¨ $ -functions

Non-Formality of $S^{2}$ via the free loop space