Thursday, April 2, 2015

M.C. Escher, “Ascending and Descending”,The index theorem

[PDF]Sir Michael Francis Atiyah Isadore M. Singer - The Abel Prize
www.abelprize.no/c53865/binfil/download.php?tid=53806
Abel Prize
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“for their discovery and proof of the index theorem, bringing together topology, ... The second Abel Prize has been awarded jointly to Michael Francis Atiyah and ... the people, going uphill all the time, still manage to circle the castle courtyard
 
 
A simple case is illustrated by a famous paradoxical etching of M.C. Escher, “Ascending and
Descending”, where the people, going uphill all the time, still manage to circle the castle courtyard.
The index theorem would have told them this was impossible!

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