Výsledky vyhledávání - "Christopher Wulff"

Autor: Christopher Wulff

Publikováno v: Journal of Topology and Analysis. 11:823-873

Several formulas for computing coarse indices of twisted Dirac type operators are introduced. One type of such formulas is by composition product in $E$-theory. The other type is by module multiplications in $K$-theory, which also yields an index the

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https://doi.org/10.1142/s179352531950033x

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Slant products on the Higson-Roe exact sequence

Autor: Christopher Wulff, Rudolf Zeidler, Alexander Engel

We construct a slant product $/ \colon \mathrm{S}_p(X \times Y) \times \mathrm{K}_{1-q}(\mathfrak{c}^{\mathrm{red}}Y) \to \mathrm{S}_{p-q}(X)$ on the analytic structure group of Higson and Roe and the K-theory of the stable Higson corona of Emerson a

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Coronas for properly combable spaces

Autor: Christopher Wulff, Alexander Engel

This paper is a systematic approach to the construction of coronas (i.e. Higson dominated boundaries at infinity) of combable spaces. We introduce three additional properties for combings: properness, coherence and expandingness. Properness is the co

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http://arxiv.org/abs/1711.06836

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Correlation between RUST assessments of fracture healing to structural and biomechanical properties

Autor: Jeffrey H. Choi, Paul Tornetta, Erin Simmons, Margaret E. Cooke, Jason W. Nascone, William M. Ricci, Alexander Christopher Wulff, Louis C. Gerstenfeld, Amira I. Hussein, Robert V O'Toole, Jody Litrenta, Kyle Lybrand, Elise F. Morgan

Publikováno v: Journal of Orthopaedic Research.

Radiographic Union Score for Tibia (RUST) and modified RUST (mRUST) are radiographic tools for quantitatively evaluating fracture healing using a cortical scoring system. This tool has high intra-class correlation coefficients (ICCs); however, little

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https://doi.org/10.1002/jor.23710

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Ring and module structures on $K$-theory of leaf spaces and their application to longitudinal index theory

Autor: Christopher Wulff

Publikováno v: Journal of Topology

Pursuing conjectures of John Roe, we use the stable Higson corona of foliated cones to construct a new $K$-theory model for the leaf space of a foliation. This new $K$-theory model is -- in contrast to Alain Connes' $K$-theory model -- a ring. We sho

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Coarse co-assembly as a ring homomorphism

Autor: Christopher Wulff

Publikováno v: Journal of Noncommutative Geometry

The $K$-theory of the stable Higson corona of a coarse space carries a canonical ring structure. This ring is the domain of an unreduced version of the coarse co-assembly map of Emerson and Meyer. We show that the target also carries a ring structure

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Bordism Invariance of the Coarse Index

Autor: Christopher Wulff

We prove bordism invariance of the coarse index of complex elliptic pseudodifferential operators. In our discussion we introduce directed $c$-bordisms, whose usefulness is illustrated in the context of existence of uniformly positive scalar curvature

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