Carl McTague2012-02-23T19:56:20ZCarl McTagueCopyright 2012, Carl McTagueSPHPBLOGThe Cayley plane and String bordismThe Cayley plane and String bordism shows that an affinity between bordism rings and projective spaces extends further than previously known. Specifically:
This paper shows that the kernel of the Witten genus tensor Z[1/6] is generated by total spaces of Cayley plane bundles, but only after restricting the Witten genus to string bordism. It does so by showing that the divisibility properties of Cayley plane bundle characteristic numbers arising in Borel-Hirzebruch Lie-group-theoretic calculations correspond precisely to the divisibility properties arising in the Hovey-Ravenel-Wilson BP-Hopf-ring-theoretic calculation of string bordism at primes >3.
]]>http://www.mctague.org/carl/blog/index.php?entry=entry111122-0612412011-11-22T00:00:00Z2011-11-22T00:00:00ZSouthamptonmy new addresses.]]>http://www.mctague.org/carl/blog/index.php?entry=entry111003-0527562011-10-03T00:00:00Z2011-10-03T00:00:00Z'Round Midnight'Round Midnight, my computer music piece inspired by Theolonious Monk's jazz standard.]]>http://www.mctague.org/carl/blog/index.php?entry=entry110917-0436112011-09-17T00:00:00Z2011-09-17T00:00:00ZAnthropomorphic Rabbit in the Rotting Hollow of a Tree Stump Along the Rhine Copyright 2011 by Carl McTague]]>http://www.mctague.org/carl/blog/index.php?entry=entry110524-0452532011-05-24T00:00:00Z2011-05-24T00:00:00ZSeparating the Wheat From the Chaff Copyright 2011 by Carl McTague]]>http://www.mctague.org/carl/blog/index.php?entry=entry110404-0501402011-04-04T00:00:00Z2011-04-04T00:00:00ZDescending the Escalator Gave the Sensation of Being Swallowed by an Enormous Whale Copyright 2011 by Carl McTague]]>http://www.mctague.org/carl/blog/index.php?entry=entry110218-0504312011-02-18T00:00:00Z2011-02-18T00:00:00Z
