P
Paolo Piazza
Researcher at Sapienza University of Rome
Publications - 78
Citations - 1537
Paolo Piazza is an academic researcher from Sapienza University of Rome. The author has contributed to research in topics: Boundary (topology) & Atiyah–Singer index theorem. The author has an hindex of 22, co-authored 75 publications receiving 1440 citations. Previous affiliations of Paolo Piazza include Massachusetts Institute of Technology.
Papers
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Families of Dirac operators, boundaries and the $b$-calculus
Richard B. Melrose,Paolo Piazza +1 more
TL;DR: A version of the Atiyah Patodi Singer index theorem for general families of Dirac operators on compact manifolds with boundary was proved by Cheeger and Cheeger in this article.
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The signature package on witt spaces
TL;DR: Cheeger et al. as discussed by the authors constructed a parametrix de l'operateur de la signature of X and used this parametrization for quantifying the invariance par homotopie stratifiee des hautes signatures of X.
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An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary
Richard B. Melrose,Paolo Piazza +1 more
TL;DR: For a family of Dirac operators acting on Hermitian Cli ord modules over the odd dimensional compact manifolds with boundary which are the bres of a bration with compact base, the Chern character of the index in K of the base was derived in this article.
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Analytic K-theory on manifolds with corners
Richard B. Melrose,Paolo Piazza +1 more
TL;DR: In this article, Atiyah proposed an analytic delinition of the K-homology groups K,(Y), defined abstractly as the dual theory to the Atiyah-Hirzebruch K(cohomology)-theory.
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Bordism, rho-invariants and the Baum–Connes conjecture
Paolo Piazza,Thomas Schick +1 more
TL;DR: In this paper, it was shown that the Atiyah-Patodi-Singer (APS) rho-invariant associated to a pair of finite dimensional unitary representations can vanish if the groupistorsion-free and the Baum-Connes map for the maximal group C*-algebra is bijective.