activity
20062013
most citedNumerical Calabi-Yau metrics

87 citations · 153 across the 7 of their papers we have counts for

collaborators

8 papers

math.DS2013

A note on the space of evolutionary operators in population genetics and folding dynamics

Sergio Lukic

Discrete dynamical systems defined by the iteration of a polynomial map of the unit simplex to itself appear in the context of population genetic systems evolving under mutation, r…

q-bio.PE2010

Non-equilibrium allele frequency spectra via spectral methods

Sergio Lukic, Jody Hey, Kevin Chen

A major challenge in the analysis of population genomics data consists of isolating signatures of natural selection from background noise caused by random drift and gene flow. Anal…

math.DG2009

Numerical Weil-Petersson metrics on moduli spaces of Calabi-Yau manifolds

Julien Keller, Sergio Lukic

We introduce a simple and very fast algorithm that computes Weil-Petersson metrics on moduli spaces of polarized Calabi-Yau manifolds. Also, by using Donaldson's quantization link…

hep-th2007★ 4 cited

Balanced metrics and noncommutative Kaehler geometry

Sergio Lukic

In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions on a Kahler manifold M. In this setup one interprets M as the…

hep-th2007★ 5 cited

Flux corrections to anomaly cancellation in M-theory on a manifold with boundary

Sergio Lukic, Gregory W. Moore

We show how the coupling of gravitinos and gauginos to fluxes modifies anomaly cancellation in M-theory on a manifold with boundary. Anomaly cancellation continues to hold, after a…

hep-th2006★ 87 cited

Numerical Calabi-Yau metrics

Michael R. Douglas, Robert L. Karp, Sergio Lukic +1

We develop numerical methods for approximating Ricci flat metrics on Calabi-Yau hypersurfaces in projective spaces. Our approach is based on finding balanced metrics, and builds on…