Establishes orderability of quotients of fillable contact manifolds via equivariant contact Floer cohomology and a k[[x]]-module analogue of Givental's nonlinear Maslov index.
The moment map and equivariant cohomology
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Instanton partition functions on the blow-up are given by chamber-dependent contour integrals over super-partitions selected by stability conditions, yielding explicit wall-crossing formulas that recover the Nakajima-Yoshioka blow-up formula.
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Equivariant Floer cohomology for contactomorphisms of quotient spaces
Establishes orderability of quotients of fillable contact manifolds via equivariant contact Floer cohomology and a k[[x]]-module analogue of Givental's nonlinear Maslov index.
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Wall-crossing of Instantons on the Blow-up
Instanton partition functions on the blow-up are given by chamber-dependent contour integrals over super-partitions selected by stability conditions, yielding explicit wall-crossing formulas that recover the Nakajima-Yoshioka blow-up formula.