Piazza, Paolo; Tang, Xiang Primary and secondary invariants of Dirac operators on \(G\)-proper manifolds. (English) Zbl 1519.58013 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 311-351 (2023). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J20 58B34 58J22 58J42 19K56 53C27 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{X. Tang}, Proc. Symp. Pure Math. 105, 311--351 (2023; Zbl 1519.58013) Full Text: DOI arXiv
Piazza, Paolo; Posthuma, Hessel B. Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary. (English) Zbl 1492.58014 Ann. \(K\)-Theory 6, No. 4, 713-782 (2021). Reviewer: Wen Lu (Wuhan) MSC: 58J20 19K56 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{H. B. Posthuma}, Ann. \(K\)-Theory 6, No. 4, 713--782 (2021; Zbl 1492.58014) Full Text: DOI arXiv
Bei, Francesco; Piazza, Paolo On analytic Todd classes of singular varieties. (English) Zbl 1487.58004 Int. Math. Res. Not. 2021, No. 19, 14840-14881 (2021). MSC: 58B15 14B05 19A49 32C35 32W05 PDFBibTeX XMLCite \textit{F. Bei} and \textit{P. Piazza}, Int. Math. Res. Not. 2021, No. 19, 14840--14881 (2021; Zbl 1487.58004) Full Text: DOI arXiv
Botvinnik, Boris; Piazza, Paolo; Rosenberg, Jonathan Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants. (English) Zbl 1518.57036 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 062, 39 p. (2021). Reviewer: Malkhaz Bakuradze (Tbilisi) MSC: 57R15 53C27 19L41 55N22 57R90 PDFBibTeX XMLCite \textit{B. Botvinnik} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 062, 39 p. (2021; Zbl 1518.57036) Full Text: DOI arXiv
Bei, Francesco; Piazza, Paolo A note on higher Todd genera of complex manifolds. (English) Zbl 1458.32021 Rend. Mat. Appl., VII. Ser. 42, No. 1, 49-60 (2021). Reviewer: Joonhyung Kim (Jeonju) MSC: 32L10 19L10 32Q55 57R20 PDFBibTeX XMLCite \textit{F. Bei} and \textit{P. Piazza}, Rend. Mat. Appl., VII. Ser. 42, No. 1, 49--60 (2021; Zbl 1458.32021) Full Text: arXiv Link
Piazza, Paolo; Posthuma, Hessel B. Higher genera for proper actions of Lie groups. (English) Zbl 1430.58016 Ann. \(K\)-Theory 4, No. 3, 473-504 (2019). MSC: 58J20 19K56 58J42 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{H. B. Posthuma}, Ann. \(K\)-Theory 4, No. 3, 473--504 (2019; Zbl 1430.58016) Full Text: DOI arXiv
Piazza, Paolo; Zenobi, Vito Felice Singular spaces, groupoids and metrics of positive scalar curvature. (English) Zbl 1430.58013 J. Geom. Phys. 137, 87-123 (2019). Reviewer: Dorin Andrica (Riyadh) MSC: 58H05 46L80 22A22 19K56 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{V. F. Zenobi}, J. Geom. Phys. 137, 87--123 (2019; Zbl 1430.58013) Full Text: DOI arXiv
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo The Novikov conjecture on Cheeger spaces. (English) Zbl 1375.57034 J. Noncommut. Geom. 11, No. 2, 451-506 (2017). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 57R19 58J20 46M20 46L85 19K56 32S60 58J40 58B34 58A35 57P99 PDFBibTeX XMLCite \textit{P. Albin} et al., J. Noncommut. Geom. 11, No. 2, 451--506 (2017; Zbl 1375.57034) Full Text: DOI arXiv
Gorokhovsky, Alexander; Moriyoshi, Hitoshi; Piazza, Paolo A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings. (English) Zbl 1343.58012 J. Noncommut. Geom. 10, No. 1, 265-306 (2016). Reviewer: Yong Wang (Changchun) MSC: 58J20 58J22 58J42 19K56 PDFBibTeX XMLCite \textit{A. Gorokhovsky} et al., J. Noncommut. Geom. 10, No. 1, 265--306 (2016; Zbl 1343.58012) Full Text: DOI arXiv
Piazza, Paolo; Schick, Thomas Rho-classes, index theory and Stolz’ positive scalar curvature sequence. (English) Zbl 1320.58012 J. Topol. 7, No. 4, 965-1004 (2014). Reviewer: Albert Sheu (Lawrence) MSC: 58J22 19K56 46L80 46L87 53C27 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{T. Schick}, J. Topol. 7, No. 4, 965--1004 (2014; Zbl 1320.58012) Full Text: DOI arXiv
Albin, Pierre; Leichtnam, Éric; Mazzeo, Rafe; Piazza, Paolo The signature package on Witt spaces. (Le forfait signature pour les espaces de Witt.) (English. French summary) Zbl 1260.58012 Ann. Sci. Éc. Norm. Supér. (4) 45, No. 2, 241-310 (2012). Reviewer: Thomas Schick (Göttingen) MSC: 58J22 46L80 46M20 19K56 PDFBibTeX XMLCite \textit{P. Albin} et al., Ann. Sci. Éc. Norm. Supér. (4) 45, No. 2, 241--310 (2012; Zbl 1260.58012) Full Text: arXiv
Moriyoshi, Hitoshi; Piazza, Paolo Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle. (English) Zbl 1248.58015 Connes, Alain (ed.) et al., Noncommutative geometry and global analysis. Conference in honor of Henri Moscovici, Bonn, Germany, June 29–July 4, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4944-6/pbk). Contemporary Mathematics 546, 225-247 (2011). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 19K56 46L80 58J28 58J42 PDFBibTeX XMLCite \textit{H. Moriyoshi} and \textit{P. Piazza}, Contemp. Math. 546, 225--247 (2011; Zbl 1248.58015)
Benameur, Moulay-Tahar; Piazza, Paolo Index, eta and rho invariants on foliated bundles. (English) Zbl 1206.58006 Dai, Xianzhe (ed.) et al., From probability to geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-288-4/pbk). Astérisque 327, 201-287 (2009). Reviewer: Choonkil Park (Daejeon) MSC: 58J20 58J28 58J42 19K56 PDFBibTeX XMLCite \textit{M.-T. Benameur} and \textit{P. Piazza}, Astérisque 327, 201--287 (2009; Zbl 1206.58006) Full Text: arXiv Link
Moriyoshi, Hitoshi; Piazza, Paolo Eta cocycles. arXiv:0907.0173 Preprint, arXiv:0907.0173 [math.DG] (2009). MSC: 58J28 58J42 19K56 BibTeX Cite \textit{H. Moriyoshi} and \textit{P. Piazza}, ``Eta cocycles'', Preprint, arXiv:0907.0173 [math.DG] (2009) Full Text: arXiv OA License
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo The signature package on Witt spaces, II. Higher signatures. arXiv:0911.0888 Preprint, arXiv:0911.0888 [math.DG] (2009). MSC: 58J20 58A35 19K56 BibTeX Cite \textit{P. Albin} et al., ``The signature package on Witt spaces, II. Higher signatures'', Preprint, arXiv:0911.0888 [math.DG] (2009) Full Text: arXiv OA License
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo The signature package on Witt spaces, I. Index classes. arXiv:0906.1568 Preprint, arXiv:0906.1568 [math.DG] (2009). MSC: 58J20 58A35 19K56 BibTeX Cite \textit{P. Albin} et al., ``The signature package on Witt spaces, I. Index classes'', Preprint, arXiv:0906.1568 [math.DG] (2009) Full Text: arXiv OA License
Piazza, Paolo; Schick, Thomas Bordism, rho-invariants and the Baum-Connes conjecture. (English) Zbl 1158.58012 J. Noncommut. Geom. 1, No. 1, 27-111 (2007). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J28 19K56 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{T. Schick}, J. Noncommut. Geom. 1, No. 1, 27--111 (2007; Zbl 1158.58012) Full Text: DOI arXiv
Leichtnam, Eric; Piazza, Paolo Cut-and-paste on foliated bundles. (English) Zbl 1074.58010 Booß-Bavnbek, Bernhelm (ed.) et al., Spectral geometry of manifolds with boundary and decomposition of manifolds. Proceedings of the workshop, Roskilde, Denmark, August 6–9, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3536-X/pbk). Contemporary Mathematics 366, 151-192 (2005). Reviewer: Yong Seung Cho (Seoul) MSC: 58J22 19K56 58J30 58J42 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, Contemp. Math. 366, 151--192 (2005; Zbl 1074.58010) Full Text: arXiv
Leichtnam, Eric; Piazza, Paolo Elliptic operators and higher signatures. (English) Zbl 1069.58014 Ann. Inst. Fourier 54, No. 5, 1197-1277 (2004). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 19K56 46L87 57R20 58J28 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, Ann. Inst. Fourier 54, No. 5, 1197--1277 (2004; Zbl 1069.58014) Full Text: DOI arXiv Numdam EuDML
Leichtnam, Eric; Piazza, Paolo On higher eta-invariants and metrics of positive scalar curvature. (English) Zbl 1010.58019 \(K\)-Theory 24, No. 4, 341-359 (2001). Reviewer: Wieslaw Oledzki (Bialystok) MSC: 58J28 19L41 53C21 58J22 53C27 55N22 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, \(K\)-Theory 24, No. 4, 341--359 (2001; Zbl 1010.58019) Full Text: DOI
Leichtnam, Eric; Lott, John; Piazza, Paolo On the homotopy invariance of higher signatures for manifolds with boundary. (English) Zbl 1032.58012 J. Differ. Geom. 54, No. 3, 561-633 (2000). Reviewer: Sergiu Moroianu (Toulouse) MSC: 58J22 19K56 58J28 58J32 PDFBibTeX XMLCite \textit{E. Leichtnam} et al., J. Differ. Geom. 54, No. 3, 561--633 (2000; Zbl 1032.58012) Full Text: DOI arXiv
Leichtnam, Eric; Piazza, Paolo A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings. (English) Zbl 0957.58017 Ann. Global Anal. Geom. 18, No. 2, 171-189 (2000). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 58J32 19D55 58J40 58J28 46L87 19K56 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, Ann. Global Anal. Geom. 18, No. 2, 171--189 (2000; Zbl 0957.58017) Full Text: DOI
Leichtnam, Eric; Piazza, Paolo Higher eta invariants and the Novikov conjecture on manifolds with boundary. (English. Abridged French version) Zbl 0920.58046 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 5, 497-502 (1998). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 58J40 58J32 46L87 19K56 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 5, 497--502 (1998; Zbl 0920.58046) Full Text: DOI
Leichtnam, Eric; Piazza, Paolo Higher Atiyah-Patodi-Singer index theory on Galois coverings. (English) Zbl 0896.58061 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 4, 399-404 (1997). Reviewer: H.Schröder (Dortmund) MSC: 58J22 19K56 46L80 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 4, 399--404 (1997; Zbl 0896.58061) Full Text: DOI