Equivariant K-Theory and Refined Vafa–Witten Invariants
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DOI: 10.1007/s00220-020-03821-1
Abstract: In Maulik and Thomas (in preparation) the Vafa–Witten theory of complex projective surfaces is lifted to oriented $${\mathbb {C}}^*$$ C ∗ -equivariant cohomology theories. Here we study the K-theoretic refinement. It gives rational functions in… read more here.
Keywords: vafa witten; refined vafa; equivariant theory; theory refined ... See more keywords
Segal's Spectral Sequence in Twisted Equivariant K-theory for Proper and Discrete Actions
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DOI: 10.1017/s0013091517000281
Abstract: Abstract We use a spectral sequence developed by Graeme Segal in order to understand the twisted G-equivariant K-theory for proper and discrete actions. We show that the second page of this spectral sequence is isomorphic… read more here.
Keywords: twisted equivariant; spectral sequence; equivariant theory; theory proper ... See more keywords
Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy
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DOI: 10.1063/1.5036647
Abstract: We consider twisted equivariant K-theory for actions of a compact Lie group G on a space X where all the isotropy subgroups are connected and of maximal rank. We show that the associated rational spectral… read more here.
Keywords: lie group; maximal rank; group; compact lie ... See more keywords