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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

55 7- PDF

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

50 6- PDF

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

46 5- PDF

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

22 3- PDF

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

8 3- PDF

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

17 2- PDF

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

14 2- PDF

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

27 2- PDF

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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