Hochs, Peter; Wang, Hang Spectral asymmetry and index theory on manifolds with generalised hyperbolic cusps. (English) Zbl 1525.58005 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 023, 32 p. (2023). Reviewer: Wen Lu (Wuhan) MSC: 58J20 58D19 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{H. Wang}, SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 023, 32 p. (2023; Zbl 1525.58005) Full Text: DOI arXiv
Hochs, Peter; Wang, Bai-Ling; Wang, Hang An equivariant Atiyah-Patodi-Singer index theorem for proper actions. I: The index formula. (English) Zbl 1523.58020 Int. Math. Res. Not. 2023, No. 4, 3138-3193 (2023). Reviewer: Wen Lu (Wuhan) MSC: 58J20 19K56 58J22 PDFBibTeX XMLCite \textit{P. Hochs} et al., Int. Math. Res. Not. 2023, No. 4, 3138--3193 (2023; Zbl 1523.58020) Full Text: DOI arXiv
Hochs, Peter; Wang, Bai-Ling; Wang, Hang An equivariant Atiyah-Patodi-Singer index theorem for proper actions. II: The \(K\)-theoretic index. (English) Zbl 1501.58008 Math. Z. 301, No. 2, 1333-1367 (2022). Reviewer: Yong Wang (Changchun) MSC: 58J20 19K56 58J22 PDFBibTeX XMLCite \textit{P. Hochs} et al., Math. Z. 301, No. 2, 1333--1367 (2022; Zbl 1501.58008) Full Text: DOI arXiv
Mesland, Bram; Şengün, Mehmet Haluk; Wang, Hang A K-theoretic Selberg trace formula. (English) Zbl 1461.58005 Curto, Raul E. (ed.) et al., Operator theory, operator algebras and their interactions with geometry and topology. Ronald G. Douglas memorial volume. Proceedings of the international workshop on operator theory and applications (IWOTA 2018), Shanghai, China, July 23–27, 2018. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 278, 403-424 (2020). Reviewer: Christopher Wulff (Göttingen) MSC: 58B34 46L80 19K56 58J20 PDFBibTeX XMLCite \textit{B. Mesland} et al., Oper. Theory: Adv. Appl. 278, 403--424 (2020; Zbl 1461.58005) Full Text: DOI arXiv Link
Hochs, Peter; Wang, Hang An equivariant orbifold index for proper actions. (English) Zbl 1447.58023 J. Geom. Phys. 154, Article ID 103710, 10 p. (2020). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 58J20 19K35 57R15 57R18 58J22 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{H. Wang}, J. Geom. Phys. 154, Article ID 103710, 10 p. (2020; Zbl 1447.58023) Full Text: DOI arXiv
Hochs, Peter; Wang, Hang Orbital integrals and \(K\)-theory classes. (English) Zbl 1423.19013 Ann. \(K\)-Theory 4, No. 2, 185-209 (2019). Reviewer: Takahiro Sudo (Nishihara) MSC: 19K56 58J20 22E46 46L80 19K14 22D25 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{H. Wang}, Ann. \(K\)-Theory 4, No. 2, 185--209 (2019; Zbl 1423.19013) Full Text: DOI arXiv
Ponge, Raphaël; Wang, Hang Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants. (English) Zbl 1417.58005 J. Noncommut. Geom. 12, No. 4, 1573-1639 (2018). Reviewer: Yong Wang (Changchun) MSC: 58B34 53A30 58J20 19D55 55N91 PDFBibTeX XMLCite \textit{R. Ponge} and \textit{H. Wang}, J. Noncommut. Geom. 12, No. 4, 1573--1639 (2018; Zbl 1417.58005) Full Text: DOI arXiv
Hochs, Peter; Wang, Hang Shelstad’s character identity from the point of view of index theory. (English) Zbl 1403.58009 Bull. Lond. Math. Soc. 50, No. 5, 759-771 (2018). Reviewer: Yong Wang (Changchun) MSC: 58J20 19K56 46L80 22E46 22E57 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{H. Wang}, Bull. Lond. Math. Soc. 50, No. 5, 759--771 (2018; Zbl 1403.58009) Full Text: DOI arXiv
Hochs, Peter; Wang, Hang A fixed point theorem on noncompact manifolds. (English) Zbl 1401.58010 Ann. \(K\)-Theory 3, No. 2, 235-286 (2018). Reviewer: Karsten Bohlen (Regensburg) MSC: 58J20 19K35 22E46 58C30 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{H. Wang}, Ann. \(K\)-Theory 3, No. 2, 235--286 (2018; Zbl 1401.58010) Full Text: DOI arXiv
Hochs, Peter; Wang, Hang A fixed point formula and Harish-Chandra’s character formula. (English) Zbl 1391.58008 Proc. Lond. Math. Soc. (3) 116, No. 1, 1-32 (2018). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 19K56 46L80 22E46 58J35 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{H. Wang}, Proc. Lond. Math. Soc. (3) 116, No. 1, 1--32 (2018; Zbl 1391.58008) Full Text: DOI arXiv
Ponge, Raphaël; Wang, Hang Index map, \(\sigma\)-connections, and Connes-Chern character in the setting of twisted spectral triples. (English) Zbl 1361.46055 Kyoto J. Math. 56, No. 2, 347-399 (2016). MSC: 46L87 58B34 58J20 19D55 PDFBibTeX XMLCite \textit{R. Ponge} and \textit{H. Wang}, Kyoto J. Math. 56, No. 2, 347--399 (2016; Zbl 1361.46055) Full Text: DOI arXiv Euclid
Ponge, Raphaël; Wang, Hang Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem. (English) Zbl 1343.58004 J. Noncommut. Geom. 10, No. 1, 307-378 (2016). Reviewer: Yong Wang (Changchun) MSC: 58B34 58J20 58J35 PDFBibTeX XMLCite \textit{R. Ponge} and \textit{H. Wang}, J. Noncommut. Geom. 10, No. 1, 307--378 (2016; Zbl 1343.58004) Full Text: DOI arXiv