Coloma, Mattia; Fiorenza, Domenico; Landi, Eugenio An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra. (English) Zbl 1501.55003 Expo. Math. 40, No. 2, 357-394 (2022). MSC: 55N20 55P43 PDFBibTeX XMLCite \textit{M. Coloma} et al., Expo. Math. 40, No. 2, 357--394 (2022; Zbl 1501.55003) Full Text: DOI arXiv
Grady, Daniel; Sati, Hisham Differential KO-theory: constructions, computations, and applications. (English) Zbl 1476.19007 Adv. Math. 384, Article ID 107671, 117 p. (2021). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 19L50 55N15 55R40 57R20 PDFBibTeX XMLCite \textit{D. Grady} and \textit{H. Sati}, Adv. Math. 384, Article ID 107671, 117 p. (2021; Zbl 1476.19007) Full Text: DOI arXiv
Brasselet, Jean-Paul Characteristic classes and singular varieties. (English) Zbl 1409.14012 Ortiz-Bobadilla, Laura (ed.) et al., Teoría de singularidades en topología, geometría y foliaciones I. México: Universidad Nacional Autónoma de México (UNAM), Instituto de Matemáticas. Papirhos, Notas 1, 1-87 (2017). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14C17 14Bxx 14J17 32Sxx 14-02 PDFBibTeX XMLCite \textit{J.-P. Brasselet}, Papirhos, Notas 1, 1--87 (2017; Zbl 1409.14012)
Yang, Huijun A remark on the stable real forms of complex vector bundles over manifolds. (English) Zbl 1453.19009 Bull. Aust. Math. Soc. 96, No. 1, 69-76 (2017). MSC: 19L64 19L10 57R20 57R22 PDFBibTeX XMLCite \textit{H. Yang}, Bull. Aust. Math. Soc. 96, No. 1, 69--76 (2017; Zbl 1453.19009) Full Text: DOI
Atiyah, Michael The Hirzebruch signature theorem for conical metrics. (English) Zbl 1376.57028 Ballmann, Werner (ed.) et al., Arbeitstagung Bonn 2013. In memory of Friedrich Hirzebruch. Proceedings of the meeting, Bonn, Germany, May, 22–28, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-43646-3/hbk; 978-3-319-43648-7/ebook). Progress in Mathematics 319, 1-15 (2016). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 57R19 57R20 53C25 57-03 01A60 PDFBibTeX XMLCite \textit{M. Atiyah}, Prog. Math. 319, 1--15 (2016; Zbl 1376.57028) Full Text: DOI
Yang, Huijun A note on stable complex structures on real vector bundles over manifolds. (English) Zbl 1314.19009 Topology Appl. 189, 1-9 (2015). Reviewer: Haruo Minami (Nara) MSC: 19L64 55R37 55R50 55T25 PDFBibTeX XMLCite \textit{H. Yang}, Topology Appl. 189, 1--9 (2015; Zbl 1314.19009) Full Text: DOI
Cox, David A.; Little, John B.; Schenck, Henry K. Toric varieties. (English) Zbl 1223.14001 Graduate Studies in Mathematics 124. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4819-7/hbk). xxiv, 841 p. (2011). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 14-01 14M25 14C17 14C15 PDFBibTeX XMLCite \textit{D. A. Cox} et al., Toric varieties. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1223.14001) Backlinks: MO
Ramadoss, Ajay C. The Mukai pairing and integral transforms in Hochschild homology. (English) Zbl 1208.14013 Mosc. Math. J. 10, No. 3, 629-645 (2010). Reviewer: Julien Grivaux (Marseille) MSC: 14F05 16E40 18E30 19L10 PDFBibTeX XMLCite \textit{A. C. Ramadoss}, Mosc. Math. J. 10, No. 3, 629--645 (2010; Zbl 1208.14013) Full Text: arXiv Link
Köhler, Kai A Hirzebruch proportionality principle in Arakelov geometry. (English) Zbl 1101.14035 van der Geer, Gerard (ed.) et al., Number fields and function fields – two parallel worlds. Boston, MA: Birkhäuser (ISBN 0-8176-4397-4/hbk; 0-8176-4447-4/e-book). Prog. Math. 239, 237-268 (2005). Reviewer: Gerd Faltings (Bonn) MSC: 14G40 58J52 14C40 PDFBibTeX XMLCite \textit{K. Köhler}, Prog. Math. 239, 237--268 (2005; Zbl 1101.14035) Full Text: DOI arXiv
Atiyah, Michael \(K\)-theory past and present. (English) Zbl 1061.19500 Proceedings of the Berlin Mathematical Society. Years 1997–2000. Berlin: Berliner Mathematische Gesellschaft, 411-417 (2001). MSC: 19-03 01A60 01A61 01A65 PDFBibTeX XMLCite \textit{M. Atiyah}, in: Sitzungsberichte der Berliner Mathematischen Gesellschaft. Jahrgänge 1997--2000. Berlin: Berliner Mathematische Gesellschaft. 411--417 (2001; Zbl 1061.19500) Full Text: arXiv
Atiyah, Michael Physics and geometry: A look at the last twenty years. (English) Zbl 0945.14026 Pragacz, Piotr (ed.) et al., Algebraic geometry: Hirzebruch 70. Proceedings of the algebraic geometry conference in honor of F. Hirzebruch’s 70th birthday, Stefan Banach International Mathematical Center, Warszawa, Poland, May 11-16, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 241, 1-8 (1999). Reviewer: Manuel Ladra Gonzalez (Santiago) MSC: 14J81 14N35 14H81 14-02 81-02 14-03 01A60 81T40 PDFBibTeX XMLCite \textit{M. Atiyah}, Contemp. Math. 241, 1--8 (1999; Zbl 0945.14026)
Yokura, Shoji A singular Riemann-Roch for Hirzebruch characteristics. (English) Zbl 0915.14005 Jakubczyk, Bronisław (ed.) et al., Singularities symposium – Łojasiewicz 70. Papers presented at the symposium on singularities on the occasion of the 70th birthday of Stanisław Łojasiewicz, Cracow, Poland, September 25–29, 1996 and the seminar on singularities and geometry, Warsaw, Poland, September 30–October 4, 1996. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 44, 257-268 (1998). MSC: 14C40 14B05 14F99 18F99 57R20 PDFBibTeX XMLCite \textit{S. Yokura}, Banach Cent. Publ. 44, 257--268 (1998; Zbl 0915.14005) Full Text: EuDML
Hulek, Klaus The theorem of Riemann-Roch. (Der Satz von Riemann-Roch.) (German) Zbl 0869.01012 Weyl, Hermann et al., Die Idee der Riemannschen Fläche. Stuttgart: B. G. Teubner. Teubner-Arch. Math., Suppl. 5, 217-229 (1997). Reviewer: D.Laugwitz (Darmstadt) MSC: 01A60 30-03 PDFBibTeX XMLCite \textit{K. Hulek}, Teubner-Arch. Math., Suppl. 5, 217--229 (1997; Zbl 0869.01012)
Blache, Raimund Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex-projective orbifolds with isolated singularities. (English) Zbl 0949.14006 Math. Z. 222, No. 1, 7-57 (1996). MSC: 14C40 32S20 14B05 14F05 PDFBibTeX XMLCite \textit{R. Blache}, Math. Z. 222, No. 1, 7--57 (1996; Zbl 0949.14006) Full Text: DOI EuDML
Patodi, V. K. Atiyah, M. F. (ed.); Narasimhan, M. S. (ed.) Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. (English) Zbl 0902.01034 Singapore: World Scientific. xii, 295 p. (1996). MSC: 01A75 PDFBibTeX XMLCite \textit{V. K. Patodi} et al., Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Singapore: World Scientific (1996; Zbl 0902.01034)
Lewis, James D. Introductory lectures in transcendental algebraic geometry. A survey of the Hodge conjecture. Lecture notes of a course given at CRM in 1990. (English) Zbl 0778.14002 Montréal: Centre de Recherches Mathématiques, Université de Montréal. 389 p. (1991). Reviewer: Werner Kleinert (Berlin) MSC: 14C30 14C25 14-02 14C15 32J25 14K30 32-02 PDFBibTeX XMLCite \textit{J. D. Lewis}, Introductory lectures in transcendental algebraic geometry. A survey of the Hodge conjecture. Lecture notes of a course given at CRM in 1990. Montréal: Centre de Recherches Mathématiques, Université de Montréal (1991; Zbl 0778.14002)
Arapura, Donu A short proof of Rohlin’s theorem for complex surfaces. (English) Zbl 0691.57006 Proc. Am. Math. Soc. 108, No. 4, 1143-1144 (1990). Reviewer: K.H.Mayer MSC: 57N13 32J15 57R20 PDFBibTeX XMLCite \textit{D. Arapura}, Proc. Am. Math. Soc. 108, No. 4, 1143--1144 (1990; Zbl 0691.57006) Full Text: DOI
Shekhtman, V. V. Riemann-Roch theorem after D. Toledo and Y.-L. Tong. (English) Zbl 0707.14007 Proc. Winter Sch. Geom. Phys., Srní/Czech. 1988, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 21, 53-81 (1989). MSC: 14C40 57R20 PDFBibTeX XML
Feigin, B. L.; Tsygan, B. L. Riemann-Roch theorem and Lie algebra cohomology. I. (English) Zbl 0686.14007 Proc. Winter Sch. Geom. Phys., Srni/Czech. 1988, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 21, 15-52 (1989). Reviewer: Jan Kubarski (Łódź) MSC: 14C40 32Q99 17B56 16E40 17B55 14F10 PDFBibTeX XML Full Text: EuDML
Bismut, Jean-Michel Le théorème d’indice local pour des variétés non kählériennes. (The local index theorem for non Kähler manifolds). (French) Zbl 0661.53050 C. R. Acad. Sci., Paris, Sér. I 308, No. 5, 139-142 (1989). MSC: 53C55 58J20 PDFBibTeX XMLCite \textit{J.-M. Bismut}, C. R. Acad. Sci., Paris, Sér. I 308, No. 5, 139--142 (1989; Zbl 0661.53050)
Pedrini, Claudio Riemann-Roch and Chow theories for singular varieties. (English) Zbl 0698.14004 Semin. Geom., Univ. Studi Bologna 1987-1988, 87-113 (1988). Reviewer: A.Nemethi MSC: 14C05 14C40 14C35 14B05 PDFBibTeX XMLCite \textit{C. Pedrini}, Semin. Geom., Univ. Studi Bologna 1987--1988, 87--113 (1988; Zbl 0698.14004)
Fischer, Hans R.; Williams, Floyd L. Complex-foliated structures. I: Cohomology of the Dolbeault-Kostant complexes. (English) Zbl 0423.14008 Trans. Am. Math. Soc. 252, 163-195 (1979). MSC: 14F05 58J10 32L10 PDFBibTeX XMLCite \textit{H. R. Fischer} and \textit{F. L. Williams}, Trans. Am. Math. Soc. 252, 163--195 (1979; Zbl 0423.14008) Full Text: DOI
Piene, Ragni A proof of Noether’s formula for the arithmetic genus of an algebraic surface. (English) Zbl 0399.14004 Compos. Math. 38, 113-119 (1979). MSC: 14C40 14J99 PDFBibTeX XMLCite \textit{R. Piene}, Compos. Math. 38, 113--119 (1979; Zbl 0399.14004) Full Text: Numdam EuDML
Toledo, Domingo; Tong, Yue Lin L. Duality and intersection theory in complex manifolds. I. (English) Zbl 0391.32008 Math. Ann. 237, 41-77 (1978). MSC: 32C37 32L10 14C40 PDFBibTeX XMLCite \textit{D. Toledo} and \textit{Y. L. L. Tong}, Math. Ann. 237, 41--77 (1978; Zbl 0391.32008) Full Text: DOI EuDML