Xin Cui — Quant • HFT • ML

L^2

\mathbb{CP}^1

math.DG

Defines and analyzes $L^2$ norms on Higgs bundles over $\mathbb{CP}^1$ .

problem Analyzing

L^2

norms on Higgs bundles with singularities.

method Defines and analyzes a specific

L^2

norm on the moduli space of Higgs bundles over

\mathbb{CP}^1

with certain singularities.

result Proves that a limit of the defined metrics corresponds to the regulated

L^2

norm from Fredrickson-Neitzke's work.

arXiv research