Edit Profile (opens in new tab) Piazza, Paolo Co-Author Distance Author ID: piazza.paolo Published as: Piazza, Paolo; Piazza, P. Homepage: http://www1.mat.uniroma1.it//people/piazza/ External Links: MGP · Wikidata Documents Indexed: 55 Publications since 1989, including 8 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 20 Co-Authors with 56 Joint Publications 488 Co-Co-Authors all top 5 Co-Authors 4 single-authored 19 Leichtnam, Eric 13 Mazzeo, Rafe R. 7 Albin, Pierre 6 Schick, Thomas 4 Bei, Francesco 4 Brüning, Jochen 4 Moriyoshi, Hitoshi 4 Posthuma, Hessel Bouke 4 Vertman, Boris 4 Zenobi, Vito Felice 3 Melrose, Richard Burt 3 Tang, Xiang 2 Botvinnik, Boris I. 2 Rosenberg, Jonathan Micah 1 Banagl, Markus 1 Benameur, Moulay-Tahar 1 Debord, Claire 1 Gorokhovsky, Alexander 1 Lott, John 1 Wu, Siye all top 5 Serials 5 Oberwolfach Reports 3 Journal of Differential Geometry 3 Journal of Noncommutative Geometry 3 Annals of \(K\)-Theory 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Geometric and Functional Analysis. GAFA 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of Topology and Analysis 1 Journal of Geometry and Physics 1 Bulletin de la Société Mathématique de France 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 \(K\)-Theory 1 IMRN. International Mathematics Research Notices 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Communications in Analysis and Geometry 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Topology all top 5 Fields 53 Global analysis, analysis on manifolds (58-XX) 24 \(K\)-theory (19-XX) 16 Functional analysis (46-XX) 12 Differential geometry (53-XX) 9 Manifolds and cell complexes (57-XX) 5 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 4 Partial differential equations (35-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 1 Nonassociative rings and algebras (17-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 523 times in 240 Documents Cited by ▼ Year ▼ The signature package on Witt spaces. (Le forfait signature pour les espaces de Witt.) Zbl 1260.58012 Albin, Pierre; Leichtnam, Éric; Mazzeo, Rafe; Piazza, Paolo 57 2012 Families of Dirac operators, boundaries and the \(B\)-calculus. Zbl 0955.58020 Melrose, Richard B.; Piazza, Paolo 45 1997 Analytic \(K\)-theory on manifolds with corners. Zbl 0761.55002 Melrose, Richard B.; Piazza, Paolo 41 1992 Rho-classes, index theory and Stolz’ positive scalar curvature sequence. Zbl 1320.58012 Piazza, Paolo; Schick, Thomas 35 2014 Bordism, rho-invariants and the Baum-Connes conjecture. Zbl 1158.58012 Piazza, Paolo; Schick, Thomas 29 2007 An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary. Zbl 0920.58053 Melrose, Richard B.; Piazza, Paolo 25 1997 Groups with torsion, bordism and rho invariants. Zbl 1152.58020 Piazza, Paolo; Schick, Thomas 22 2007 On higher eta-invariants and metrics of positive scalar curvature. Zbl 1010.58019 Leichtnam, Eric; Piazza, Paolo 20 2001 The surgery exact sequence, \(K\)-theory and the signature operator. Zbl 1335.46063 Piazza, Paolo; Schick, Thomas 19 2016 Dirac index classes and the noncommutative spectral flow. Zbl 1030.58018 Leichtnam, Eric; Piazza, Paolo 18 2003 Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0913.58055 Leichtnam, E.; Piazza, P. 17 1998 Hodge theory on Cheeger spaces. Zbl 1434.58001 Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 17 2018 On the index of elliptic operators on manifolds with boundary. Zbl 0793.58035 Piazza, Paolo 16 1993 The Novikov conjecture on Cheeger spaces. Zbl 1375.57034 Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 15 2017 The index of Dirac operators on manifolds with fibered boundaries. Zbl 1126.58009 Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 14 2006 The \(b\)-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem. Zbl 0942.58003 Leichtnam, Éric; Piazza, Paolo 14 1997 Index, eta and rho invariants on foliated bundles. Zbl 1206.58006 Benameur, Moulay-Tahar; Piazza, Paolo 14 2009 Singular spaces, groupoids and metrics of positive scalar curvature. Zbl 1430.58013 Piazza, Paolo; Zenobi, Vito Felice 12 2019 Dirac operators, heat kernels and microlocal analysis. II: Analytic surgery. Zbl 0926.58017 Mazzeo, R.; Piazza, P. 10 1998 On the homotopy invariance of higher signatures for manifolds with boundary. Zbl 1032.58012 Leichtnam, Eric; Lott, John; Piazza, Paolo 9 2000 Homotopy invariance of twisted higher signatures on manifolds with boundary. Zbl 0945.58020 Leichtnam, Éric; Piazza, Paolo 8 1999 Étale groupoids, eta invariants and index theory. Zbl 1088.58010 Leichtnam, Eric; Piazza, Paolo 8 2005 A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings. Zbl 0957.58017 Leichtnam, Eric; Piazza, Paolo 6 2000 Elliptic operators and higher signatures. Zbl 1069.58014 Leichtnam, Eric; Piazza, Paolo 6 2004 Determinant bundles, manifolds with boundary and surgery. Zbl 0859.58030 Piazza, Paolo 6 1996 Eta and rho invariants on manifolds with edges. (Invariants êta and rho sur variétés stratifiée de profondeur 1.) Zbl 1442.58016 Piazza, Paolo; Vertman, Boris 6 2019 Refined intersection homology on non-Witt spaces. Zbl 1316.55002 Albin, Pierre; Banagl, Markus; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 5 2015 A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings. Zbl 1343.58012 Gorokhovsky, Alexander; Moriyoshi, Hitoshi; Piazza, Paolo 5 2016 Eta cocycles, relative pairings and the Godbillon-Vey index theorem. Zbl 1271.58010 Moriyoshi, Hitoshi; Piazza, Paolo 5 2012 Determinant bundles, manifolds with boundary and surgery. II: Spectral sections and surgery rules for anomalies. Zbl 0910.58039 Piazza, Paolo 3 1998 Higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0896.58061 Leichtnam, Eric; Piazza, Paolo 3 1997 Higher genera for proper actions of Lie groups. Zbl 1430.58016 Piazza, Paolo; Posthuma, Hessel B. 3 2019 Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle. Zbl 1248.58015 Moriyoshi, Hitoshi; Piazza, Paolo 2 2011 Dirac operators, heat kernels and microlocal analysis. I: Family index theory. Zbl 0906.58050 Piazza, Paolo 2 1997 Higher eta invariants and the Novikov conjecture on manifolds with boundary. Zbl 0920.58046 Leichtnam, Eric; Piazza, Paolo 1 1998 Cut-and-paste on foliated bundles. Zbl 1074.58010 Leichtnam, Eric; Piazza, Paolo 1 2005 Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants. Zbl 1518.57036 Botvinnik, Boris; Piazza, Paolo; Rosenberg, Jonathan 1 2021 Stratified surgery and K-theory invariants of the signature operator. Zbl 1500.58004 Albin, Pierre; Piazza, Paolo 1 2022 On positive scalar curvature bordism. Zbl 07732156 Piazza, Paolo; Schick, Thomas; Zenobi, Vito Felice 1 2022 Positive scalar curvature on simply connected spin pseudomanifolds. Zbl 1519.53040 Botvinnik, Boris; Piazza, Paolo; Rosenberg, Jonathan 1 2023 Positive scalar curvature on simply connected spin pseudomanifolds. Zbl 1519.53040 Botvinnik, Boris; Piazza, Paolo; Rosenberg, Jonathan 1 2023 Stratified surgery and K-theory invariants of the signature operator. Zbl 1500.58004 Albin, Pierre; Piazza, Paolo 1 2022 On positive scalar curvature bordism. Zbl 07732156 Piazza, Paolo; Schick, Thomas; Zenobi, Vito Felice 1 2022 Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants. Zbl 1518.57036 Botvinnik, Boris; Piazza, Paolo; Rosenberg, Jonathan 1 2021 Singular spaces, groupoids and metrics of positive scalar curvature. Zbl 1430.58013 Piazza, Paolo; Zenobi, Vito Felice 12 2019 Eta and rho invariants on manifolds with edges. (Invariants êta and rho sur variétés stratifiée de profondeur 1.) Zbl 1442.58016 Piazza, Paolo; Vertman, Boris 6 2019 Higher genera for proper actions of Lie groups. Zbl 1430.58016 Piazza, Paolo; Posthuma, Hessel B. 3 2019 Hodge theory on Cheeger spaces. Zbl 1434.58001 Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 17 2018 The Novikov conjecture on Cheeger spaces. Zbl 1375.57034 Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 15 2017 The surgery exact sequence, \(K\)-theory and the signature operator. Zbl 1335.46063 Piazza, Paolo; Schick, Thomas 19 2016 A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings. Zbl 1343.58012 Gorokhovsky, Alexander; Moriyoshi, Hitoshi; Piazza, Paolo 5 2016 Refined intersection homology on non-Witt spaces. Zbl 1316.55002 Albin, Pierre; Banagl, Markus; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 5 2015 Rho-classes, index theory and Stolz’ positive scalar curvature sequence. Zbl 1320.58012 Piazza, Paolo; Schick, Thomas 35 2014 The signature package on Witt spaces. (Le forfait signature pour les espaces de Witt.) Zbl 1260.58012 Albin, Pierre; Leichtnam, Éric; Mazzeo, Rafe; Piazza, Paolo 57 2012 Eta cocycles, relative pairings and the Godbillon-Vey index theorem. Zbl 1271.58010 Moriyoshi, Hitoshi; Piazza, Paolo 5 2012 Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle. Zbl 1248.58015 Moriyoshi, Hitoshi; Piazza, Paolo 2 2011 Index, eta and rho invariants on foliated bundles. Zbl 1206.58006 Benameur, Moulay-Tahar; Piazza, Paolo 14 2009 Bordism, rho-invariants and the Baum-Connes conjecture. Zbl 1158.58012 Piazza, Paolo; Schick, Thomas 29 2007 Groups with torsion, bordism and rho invariants. Zbl 1152.58020 Piazza, Paolo; Schick, Thomas 22 2007 The index of Dirac operators on manifolds with fibered boundaries. Zbl 1126.58009 Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 14 2006 Étale groupoids, eta invariants and index theory. Zbl 1088.58010 Leichtnam, Eric; Piazza, Paolo 8 2005 Cut-and-paste on foliated bundles. Zbl 1074.58010 Leichtnam, Eric; Piazza, Paolo 1 2005 Elliptic operators and higher signatures. Zbl 1069.58014 Leichtnam, Eric; Piazza, Paolo 6 2004 Dirac index classes and the noncommutative spectral flow. Zbl 1030.58018 Leichtnam, Eric; Piazza, Paolo 18 2003 On higher eta-invariants and metrics of positive scalar curvature. Zbl 1010.58019 Leichtnam, Eric; Piazza, Paolo 20 2001 On the homotopy invariance of higher signatures for manifolds with boundary. Zbl 1032.58012 Leichtnam, Eric; Lott, John; Piazza, Paolo 9 2000 A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings. Zbl 0957.58017 Leichtnam, Eric; Piazza, Paolo 6 2000 Homotopy invariance of twisted higher signatures on manifolds with boundary. Zbl 0945.58020 Leichtnam, Éric; Piazza, Paolo 8 1999 Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0913.58055 Leichtnam, E.; Piazza, P. 17 1998 Dirac operators, heat kernels and microlocal analysis. II: Analytic surgery. Zbl 0926.58017 Mazzeo, R.; Piazza, P. 10 1998 Determinant bundles, manifolds with boundary and surgery. II: Spectral sections and surgery rules for anomalies. Zbl 0910.58039 Piazza, Paolo 3 1998 Higher eta invariants and the Novikov conjecture on manifolds with boundary. Zbl 0920.58046 Leichtnam, Eric; Piazza, Paolo 1 1998 Families of Dirac operators, boundaries and the \(B\)-calculus. Zbl 0955.58020 Melrose, Richard B.; Piazza, Paolo 45 1997 An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary. Zbl 0920.58053 Melrose, Richard B.; Piazza, Paolo 25 1997 The \(b\)-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem. Zbl 0942.58003 Leichtnam, Éric; Piazza, Paolo 14 1997 Higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0896.58061 Leichtnam, Eric; Piazza, Paolo 3 1997 Dirac operators, heat kernels and microlocal analysis. I: Family index theory. Zbl 0906.58050 Piazza, Paolo 2 1997 Determinant bundles, manifolds with boundary and surgery. Zbl 0859.58030 Piazza, Paolo 6 1996 On the index of elliptic operators on manifolds with boundary. Zbl 0793.58035 Piazza, Paolo 16 1993 Analytic \(K\)-theory on manifolds with corners. Zbl 0761.55002 Melrose, Richard B.; Piazza, Paolo 41 1992 all cited Publications top 5 cited Publications all top 5 Cited by 196 Authors 18 Piazza, Paolo 13 Rochon, Frédéric 12 Yu, Guoliang 11 Benameur, Moulay-Tahar 11 Loya, Paul A. 11 Mazzeo, Rafe R. 10 Xie, Zhizhang 9 Albin, Pierre 9 Vertman, Boris 8 Schick, Thomas 7 Bei, Francesco 7 Nistor, Victor 7 Zenobi, Vito Felice 6 Leichtnam, Eric 6 Park, Jinsung 5 Lescure, Jean-Marie 5 Mathai, Varghese 5 Roy, Indrava 5 Zhang, Weiping 4 Akutagawa, Kazuo 4 Azzali, Sara 4 Botvinnik, Boris I. 4 Chen, Hua 4 Dai, Xianzhe 4 Debord, Claire 4 Deeley, Robin J. 4 Goffeng, Magnus 4 Lauter, Robert 4 Mondello, Ilaria 4 Vasy, András 4 Wahl, Charlotte 4 Zeidler, Rudolf 3 Banagl, Markus 3 Carron, Gilles 3 Elmrabty, Adnane 3 Friedman, Greg 3 Gorokhovsky, Alexander 3 Hartmann, Luiz 3 Hochs, Peter 3 Larraín-Hubach, Andrés 3 Lesch, Matthias 3 Liu, Bo 3 Liu, Hongzhi 3 Lott, John 3 MacDonald, Lachlan Ewen 3 McClure, James E. 3 Melrose, Richard Burt 3 Posthuma, Hessel Bouke 3 Rosenberg, Jonathan Micah 3 Savin, Anton Yur’evich 3 Scott, Simon G. 3 Wang, Bailing 3 Wang, Hang 3 Wang, Jinmin 3 Wei, Yawei 2 Carrillo-Rouse, Paulo 2 Campos de Carvalho, Catarina 2 Chen, Xiaoman 2 Conlon, Ronan J. 2 Fan, Haining 2 Freed, Daniel Stuart 2 Gell-Redman, Jesse 2 Hanke, Bernhard 2 Hunsicker, Eugenie 2 Kottke, Chris 2 Krainer, Thomas 2 Kubota, Yosuke 2 Liu, Xiaochun 2 Monthubert, Bertrand 2 Moriyoshi, Hitoshi 2 Moroianu, Sergiu 2 Nazaikinskii, Vladimir E. 2 Nikolaus, Thomas 2 Pflaum, Markus J. 2 Rennie, Adam 2 Schulze, Bert-Wolfgang 2 Sher, David A. 2 Shi, Pengshuai 2 Skandalis, Georges 2 Sternin, Boris Yur’evich 2 Velásquez, Mario 2 Weinberger, Shmuel 2 Wulff, Christopher 1 Abed, Jamil 1 Álvarez López, Jesús Antonio 1 Ammann, Bernd Eberhard 1 Ammar, Mahdi 1 Androulidakis, Iakovos 1 Ayala, David 1 Bárcenas Torres, Noé 1 Baum, Paul Frank 1 Bertrand, Jérôme 1 Bismut, Jean-Michel 1 Bohlen, Karsten 1 Braverman, Maxim 1 Brüning, Jochen 1 Bunke, Ulrich 1 Calaza, Manuel 1 Caldeira, Bruno 1 Carey, Alan L. ...and 96 more Authors all top 5 Cited in 80 Serials 17 Advances in Mathematics 16 Journal of Functional Analysis 15 Journal of Noncommutative Geometry 12 Journal of Geometry and Physics 12 Annals of \(K\)-Theory 9 Communications in Mathematical Physics 9 Journal of Topology and Analysis 8 Annals of Global Analysis and Geometry 8 Geometry & Topology 7 Annales de l’Institut Fourier 7 Journal für die Reine und Angewandte Mathematik 6 The Journal of Geometric Analysis 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 4 Mathematische Annalen 4 Mathematische Nachrichten 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Transactions of the American Mathematical Society 3 \(K\)-Theory 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Bulletin des Sciences Mathématiques 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Geometriae Dedicata 2 Journal of Differential Geometry 2 Memoirs of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Electronic Research Announcements of the American Mathematical Society 2 Oberwolfach Reports 2 Journal of Topology 2 Pure and Applied Analysis 1 Modern Physics Letters B 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Science in China. Series A 1 Sugaku Expositions 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 New Zealand Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Journal of Homotopy and Related Structures 1 Analysis & PDE 1 Journal of \(K\)-Theory 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Communications in Mathematics and Statistics 1 Annales Mathématiques du Québec 1 Mathematics all top 5 Cited in 26 Fields 182 Global analysis, analysis on manifolds (58-XX) 86 \(K\)-theory (19-XX) 65 Differential geometry (53-XX) 51 Functional analysis (46-XX) 37 Partial differential equations (35-XX) 33 Algebraic topology (55-XX) 33 Manifolds and cell complexes (57-XX) 15 Operator theory (47-XX) 13 Topological groups, Lie groups (22-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Quantum theory (81-XX) 9 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.