most citedCircle actions and Z/k-manifolds

1 citations · 1 across the 4 of their papers we have counts for

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math.DG2004

Eta-invariants, Torsion forms and Flat vector bundles

Xiaonan Ma, weiping Zhang

We present a new proof, as well as a extension, of the Riemann-Roch-Grothendieck theorem of Bismut-Lott for flat vector bundles. The main techniques used are the comput…

math.DG2003

Eta invariant and Chern-Simons current

Weiping Zhang

We show that the R/Z part of the analytically defined eta invariant of Atiyah-Patodi-Singer for a Dirac operator on an odd dimensional closed spin manifold can be expressed purely…

math.DG2003★ 1 cited

Circle actions and Z/k-manifolds

Weiping Zhang

We establish an S^1-equivariant index theorem for Dirac operators on Z/k-manifolds. As an application, we generalize the Atiyah-Hirzebruch vanishing theorem for S^1-actions on clos…

math.DG2003

Modular invariance, characteristic numbers and invariants

Fei Han, Weiping Zhang

We generalize the "miraculous cancellation" formulas of Alvarez-Gaumé, Witten and Kefeng Liu to a twisted version where an extra complex line bundle is involved. We also apply our…