8,374 research outputs found
Positive curvature and rational ellipticity
Simply-connected manifolds of positive sectional curvature are speculated
to have a rigid topological structure. In particular, they are conjectured to
be rationally elliptic, i.e., all but finitely many homotopy groups are
conjectured to be finite. In this article we combine positive curvature with
rational ellipticity to obtain several topological properties of the underlying
manifold. These results include a small upper bound on the Euler characteristic
and confirmations of famous conjectures by Hopf and Halperin under additional
torus symmetry. We prove several cases (including all known even-dimensional
examples of positively curved manifolds) of a conjecture by Wilhelm
On a generalized conjecture of Hopf with symmetry
A famous conjecture of Hopf is that the product of the two-dimensional sphere
with itself does not admit a Riemannian metric with positive sectional
curvature. More generally, one may conjecture that this holds for any
nontrivial product. We provide evidence for this generalized conjecture in the
presence of symmetry.Comment: 10 page
Off Message
Off Message is a retrospective exhibition bringing together a collection of the artist’s work made between 1968 and 2016.
Part of the exhibition explores the concept of creating a living archive and Boardroom is brought up to date to reflect changing political times. The exhibition looks at how work on many different political events can work together as a total socio-political statement.
The catalogue (uploaded) was a free broadsheet poster and interview with the artist. The design of the exhibition was made to engage a general public who use the art centre as the community resource
Unofficial War Artist
Kennard’s work is reproduced throughout the 120 pages and juxtaposing his photomontages with numbers forms an audit of war in terms of both the human and financial cost – a list of countless zeros which, he says ‘form the noose with which we are killing ourselves’.
It includes an essay by Peter Kennard on his work as an activist artist and an introduction to his career by Richard Slocombe, Senior Art Curator at IWM.
Peter Kennard says: ‘This book aims to conceptualise the scandal of the modern world through the use of numbers – numbers that show how we have screwed up. The numbers in this book outline the cost, scale and misery taking place across the world, numbers that are incomprehensible yet very real. It is fitting to place these alongside my work from the last half a century; to see how little has changed in the plight for humanity and peace since the 1960s.
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