Constructs topological elliptic genera as G-equivariant refinements of classical elliptic genera and derives a divisibility result for Euler numbers of Sp-manifolds.
On the Postnikov towers for real and complex connective K-theory
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abstract
Complexification, from real connective K-theory to complex connective K-theory, sits in a well-known cofiber sequence between multiplication by eta and a map related to realification. We show how this cofiber sequence factors as one goes up the Postnikov towers of ko and ku. There are 5 distinct cofiber sequences which then repeat under Bott periodicity.
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Topological Elliptic Genera I -- The mathematical foundation
Constructs topological elliptic genera as G-equivariant refinements of classical elliptic genera and derives a divisibility result for Euler numbers of Sp-manifolds.