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4 papers · 1 filter
Entire invariant solutions to Monge-Ampere equations
Roger Bielawski
We prove existence and regularity of entire solutions to Monge-Ampere equations invariant under an irreducible action of a compact Lie group.
Complexification and hypercomplexification of manifolds with a linear connection
Roger Bielawski
We give a simple interpretation of the adapted complex structure of Lempert-Szoke and Guillemin-Stenzel: it is given by a polar decomposition of the complexified manifold. We then…
An Objective Representation of the Gaussian Integers
Marcelo Fiore, Tom Leinster
A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalence x = 1 + x + x^2, showing that in it the non-constant polynomials form a ring.…
Minimal Atomic Complexes
A. J. Baker, J. P. May
Hu, Kriz and May recently reexamined ideas implicit in Priddy's elegant homotopy theoretic construction of the Brown-Peterson spectrum at a prime p. They discussed May's notions of…