Li, Hongfeng; Wu, Tong; Wang, Yong Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary. (English) Zbl 07762282 J. Pseudo-Differ. Oper. Appl. 14, No. 4, Paper No. 68, 22 p. (2023). MSC: 53B12 58J42 46L87 PDFBibTeX XMLCite \textit{H. Li} et al., J. Pseudo-Differ. Oper. Appl. 14, No. 4, Paper No. 68, 22 p. (2023; Zbl 07762282) Full Text: DOI
Wang, Jian; Wang, Yong Equivariant Bismut Laplacian and spectral Einstein functional. arXiv:2308.00006 Preprint, arXiv:2308.00006 [math.DG] (2023). MSC: 53A30 46L87 BibTeX Cite \textit{J. Wang} and \textit{Y. Wang}, ``Equivariant Bismut Laplacian and spectral Einstein functional'', Preprint, arXiv:2308.00006 [math.DG] (2023) Full Text: DOI arXiv OA License
Wang, Jian; Wang, Yong; Wu, Tong; Yang, Yuchen One-forms, spectral Einstein functionals and the noncommutative residue. arXiv:2307.15921 Preprint, arXiv:2307.15921 [math.DG] (2023). MSC: 53A30 46L87 BibTeX Cite \textit{J. Wang} et al., ``One-forms, spectral Einstein functionals and the noncommutative residue'', Preprint, arXiv:2307.15921 [math.DG] (2023) Full Text: arXiv OA License
Wu, Tong; Wang, Jian; Wang, Yong Dirac-Witten operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary. (English) Zbl 1486.58016 J. Nonlinear Math. Phys. 29, No. 1, 1-40 (2022). MSC: 58J42 58J50 46L87 81T75 46L85 PDFBibTeX XMLCite \textit{T. Wu} et al., J. Nonlinear Math. Phys. 29, No. 1, 1--40 (2022; Zbl 1486.58016) Full Text: DOI arXiv
Wang, Jian; Wang, Yong; Yang, Chunling Gravity, Robertson-Walker metric and the Wodzicki residue. (English) Zbl 1467.53042 J. Pseudo-Differ. Oper. Appl. 12, No. 1, Paper No. 10, 17 p. (2021). MSC: 53C20 53C18 46L87 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Pseudo-Differ. Oper. Appl. 12, No. 1, Paper No. 10, 17 p. (2021; Zbl 1467.53042) Full Text: DOI
Wang, Yong General Kastler-Kalau-Walze type theorems for manifolds with boundary. II. (English) Zbl 1408.53116 Int. J. Geom. Methods Mod. Phys. 16, No. 2, Article ID 1950028, 16 p. (2019). MSC: 53Z05 53C20 58J42 58J32 46L87 81R60 81Q05 PDFBibTeX XMLCite \textit{Y. Wang}, Int. J. Geom. Methods Mod. Phys. 16, No. 2, Article ID 1950028, 16 p. (2019; Zbl 1408.53116) Full Text: DOI arXiv
Wang, Jian; Wang, Yong; Sun, Aihui; Chen, Sihui Nonminimal de Rham-Hodge operators and non-commutative residue. (English) Zbl 1475.58020 J. Pseudo-Differ. Oper. Appl. 9, No. 2, 365-389 (2018). MSC: 58J42 46L87 53C20 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Pseudo-Differ. Oper. Appl. 9, No. 2, 365--389 (2018; Zbl 1475.58020) Full Text: DOI arXiv
Sun, Aihui; Wang, Jian; Wang, Yong A family resolvent cocycle and higher spectral flow. (English) Zbl 1404.58036 Bull. Korean Math. Soc. 54, No. 4, 1387-1407 (2017). Reviewer: Peter Haskell (Blacksburg) MSC: 58J30 58J20 46L87 58B34 PDFBibTeX XMLCite \textit{A. Sun} et al., Bull. Korean Math. Soc. 54, No. 4, 1387--1407 (2017; Zbl 1404.58036) Full Text: DOI Link
Wang, Yong An equivariant Kastler-Kalau-Walze type theorem. (English) Zbl 1362.53060 Int. J. Geom. Methods Mod. Phys. 14, No. 4, Article ID 1750056, 11 p. (2017). MSC: 53C27 46L87 58J42 PDFBibTeX XMLCite \textit{Y. Wang}, Int. J. Geom. Methods Mod. Phys. 14, No. 4, Article ID 1750056, 11 p. (2017; Zbl 1362.53060) Full Text: DOI arXiv
Wang, Jian; Wang, Yong Twisted Dirac operators and the noncommutative residue for manifolds with boundary. (English) Zbl 1362.58016 J. Pseudo-Differ. Oper. Appl. 7, No. 2, 181-211 (2016). Reviewer: Magnus Goffeng (Göteborg) MSC: 58J42 46L87 53C27 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, J. Pseudo-Differ. Oper. Appl. 7, No. 2, 181--211 (2016; Zbl 1362.58016) Full Text: DOI arXiv
Wang, Jian; Wang, Yong A general Kastler-Kalau-Walze type theorem for manifolds with boundary. (English) Zbl 1338.53060 Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1650003, 16 p. (2016). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C20 58J42 46L87 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1650003, 16 p. (2016; Zbl 1338.53060) Full Text: DOI
Wang, Jian; Wang, Yong A Kastler-Kalau-Walze type theorem for five-dimensional manifolds with boundary. (English) Zbl 1326.58015 Int. J. Geom. Methods Mod. Phys. 12, No. 5, Article ID 1550064, 34 p. (2015). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J42 46L87 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, Int. J. Geom. Methods Mod. Phys. 12, No. 5, Article ID 1550064, 34 p. (2015; Zbl 1326.58015) Full Text: DOI arXiv
Wang, Jian; Wang, Yong The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary. (English) Zbl 1317.83058 J. Math. Phys. 56, No. 5, 052501, 14 p. (2015). MSC: 83C65 58B34 83C60 57R15 46L87 83C05 53Z05 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, J. Math. Phys. 56, No. 5, 052501, 14 p. (2015; Zbl 1317.83058) Full Text: DOI arXiv
Wang, Jian; Wang, Yong A Kastler-Kalau-Walze type theorem for 7-dimensional manifolds with boundary. (English) Zbl 1472.58019 Abstr. Appl. Anal. 2014, Article ID 465782, 18 p. (2014). MSC: 58J42 46L87 46L85 58J50 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, Abstr. Appl. Anal. 2014, Article ID 465782, 18 p. (2014; Zbl 1472.58019) Full Text: DOI
Wang, Jian; Wang, Yong Nonminimal operators and non-commutative residue. (English) Zbl 1287.58014 J. Math. Phys. 53, No. 7, 072503, 12 p. (2012). MSC: 58J42 46L87 58B34 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, J. Math. Phys. 53, No. 7, 072503, 12 p. (2012; Zbl 1287.58014) Full Text: DOI
Wang, Jian; Wang, Yong Double conformal invariants and the Wodzicki residue. (Chinese. English summary) Zbl 1289.53025 Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 6, 1063-1078 (2012). MSC: 53A30 46L87 53C56 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 6, 1063--1078 (2012; Zbl 1289.53025) Full Text: arXiv
Wang, Yong; Li, Tingting Conformal invariants and the wodzicki residue for complex manifolds. (English) Zbl 1482.58015 Adv. Math., Beijing 39, No. 4, 460-466 (2010). MSC: 58J42 46L87 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{T. Li}, Adv. Math., Beijing 39, No. 4, 460--466 (2010; Zbl 1482.58015)
Liu, KeFeng; Wang, Yong Adiabatic limits, vanishing theorems and the noncommutative residue. (English) Zbl 1193.53120 Sci. China, Ser. A 52, No. 12, 2699-2713 (2009). MSC: 53C27 51H25 46L87 53C12 PDFBibTeX XMLCite \textit{K. Liu} and \textit{Y. Wang}, Sci. China, Ser. A 52, No. 12, 2699--2713 (2009; Zbl 1193.53120) Full Text: DOI arXiv
Wang, Yong Gravity and the noncommutative residue for manifolds with boundary. (English) Zbl 1127.58025 Lett. Math. Phys. 80, No. 1, 37-56 (2007). Reviewer: Witold Mozgawa (Lublin) MSC: 58J42 58J32 53A30 46L87 PDFBibTeX XMLCite \textit{Y. Wang}, Lett. Math. Phys. 80, No. 1, 37--56 (2007; Zbl 1127.58025) Full Text: DOI arXiv
Wang, Yong Differential forms and the Wodzicki residue for manifolds with boundary. (English) Zbl 1089.58020 J. Geom. Phys. 56, No. 5, 731-753 (2006). MSC: 58J42 53A30 46L87 PDFBibTeX XMLCite \textit{Y. Wang}, J. Geom. Phys. 56, No. 5, 731--753 (2006; Zbl 1089.58020) Full Text: DOI arXiv