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K-cycles for twisted K-homology
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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 necessarilyExpand
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Equivariant Seiberg-Witten Floer Homology
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 aroundExpand
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Geometric cycles, index theory and twisted K-homology
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 �-twistedExpand
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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, weExpand
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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 andExpand
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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 HamiltonianExpand
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Delocalized Chern character for stringy orbifold K-theory
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 ChernExpand
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Differential Twisted K-theory and Applications
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 alsoExpand
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The role of UNC5C in Alzheimer's disease.
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 neurofibrillaryExpand
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