TY - CHAP
AB - We prove that there is no strongly regular graph (SRG) with parameters (460; 153; 32; 60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs.
AU - Bondarenko, Andriy
AU - Mellit, Anton
AU - Prymak, Andriy
AU - Radchenko, Danylo
AU - Viazovska, Maryna
ID - 61
T2 - Contemporary Computational Mathematics
TI - There is no strongly regular graph with parameters (460; 153; 32; 60)
ER -
TY - CHAP
AB - This chapter finds an agreement of equivariant indices of semi-classical homomorphisms between pairwise mirror branes in the GL2 Higgs moduli space on a Riemann surface. On one side of the agreement, components of the Lagrangian brane of U(1,1) Higgs bundles, whose mirror was proposed by Hitchin to be certain even exterior powers of the hyperholomorphic Dirac bundle on the SL2 Higgs moduli space, are present. The agreement arises from a mysterious functional equation. This gives strong computational evidence for Hitchin’s proposal.
AU - Hausel, Tamás
AU - Mellit, Anton
AU - Pei, Du
ID - 6525
SN - 9780198802013
T2 - Geometry and Physics: Volume I
TI - Mirror symmetry with branes by equivariant verlinde formulas
ER -