In this section we use WCS classes to distinguish different S1 actions on M=S2×S3. We use this to conclude that π1(Diff(M),id) is infinite.
In this section we produce several infinite families of nonhomeomorphic 5-manifolds ¯¯¯¯¯¯M with π1(Diff(¯¯¯¯¯¯M))=π1(Diff(¯¯¯¯¯¯M),Id) infinite. These manifolds are the total space of circle bundles over integral Kähler surfaces. To give some conte…
In this section, we relate our work to Freed’s work on based loop groups ΩG . We find a particular representation of the loop algebra that controls the order of the curvature of the H1 metric on ΩG.
In this section, we present algorithms for a cardinality constraint and a matroid constraint, respectively.
In this section, we study the geometry of (R3,d∞0), and conclude that there are no isometry between (R3,d∞0) and (R3,h0), and between (R3,d∞0) and (R3,1|ζ|h0)
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