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- Publications
- Influence
Thom isomorphism and push-forward map in twisted K-theory
We establish the Thom isomorphism in twisted K-theory for any real vector bundle and develop the push-forward map in twisted K-theory for any differentiable proper map $f: X\to Y$ (not necessarily… Expand
Equivariant Seiberg-Witten Floer Homology
- M. Marcolli, B. Wang
- Mathematics
- 14 June 1996
This paper circulated previously in a draft version. Now, upon general request, it is about time to distribute the more detailed (and much longer) version. The main technical issues revolve around… Expand
Geometric cycles, index theory and twisted K-homology
- B. Wang
- Mathematics
- 9 October 2007
We study twisted Spin c -manifolds over a paracompact Hausdorff space X with a twisting � : X ! K(Z, 3). We introduce the topological index and the analytical index on the bordism group of �-twisted… Expand
Virtual neighborhood technique for pseudo-holomorphic spheres
This is the first part of a trilogy where we apply the theory of virtual manifold/orbifolds developed by the first named author and Tian to study the Gromov-Witten moduli spaces. In this paper, we… Expand
Riemann-Roch and index formulae in twisted K-theory
In this paper, we establish the Riemann-Roch theorem in twisted K-theory extending our earlier results. As an application, we prove a twisted index formula and show that D-brane charges in Type I and… Expand
Fusion of Symmetric D-Branes and Verlinde Rings
We explain how multiplicative bundle gerbes over a compact, connected and simple Lie group G lead to a certain fusion category of equivariant bundle gerbe modules given by pre-quantizable Hamiltonian… Expand
Delocalized Chern character for stringy orbifold K-theory
- Jianxun Hu, B. Wang
- Mathematics
- 5 October 2011
In this paper, we define a stringy product on K � orb(X) C, the orbifold K-theory of any almost complex presentable orbifold X. We establish that under this stringy product, the delocali zed Chern… Expand
Differential Twisted K-theory and Applications
- A. Carey, J. Mickelsson, B. Wang
- Mathematics
- 23 August 2007
In this paper, we develop differential twisted K-theory and define a twisted Chern character on twisted K-theory which depends on a choice of connection and curving on the twisting gerbe. We also… Expand
The role of UNC5C in Alzheimer's disease.
- Q. Li, B. Wang, Fu-Rong Sun, J. Li, Xi‐Peng Cao, Lan Tan
- Biology, Medicine
- Annals of translational medicine
- 5 November 2018
Alzheimer's disease (AD) is a chronic progressive neurodegenerative disease in adults characterized by the deposition of extracellular plaques of β-amyloid protein (Aβ), intracellular neurofibrillary… Expand
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