Niedziałomski, Kamil A note on invariant description of \(\mathrm{SU}(2)\)-structures in dimension 5. (English) Zbl 07783585 Result. Math. 79, No. 1, Paper No. 15, 29 p. (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53C27 53C26 53C07 57R15 15A66 PDFBibTeX XMLCite \textit{K. Niedziałomski}, Result. Math. 79, No. 1, Paper No. 15, 29 p. (2024; Zbl 07783585) Full Text: DOI arXiv OA License
Qian, Chao; Tang, Zizhou; Yan, Wenjiao Topology and curvature of isoparametric families in spheres. (English) Zbl 1525.53032 Commun. Math. Stat. 11, No. 2, 439-475 (2023). Reviewer: Jianquan Ge (Beijing) MSC: 53C12 53A07 53C40 53C42 55M30 57R30 55R25 58E05 15A66 PDFBibTeX XMLCite \textit{C. Qian} et al., Commun. Math. Stat. 11, No. 2, 439--475 (2023; Zbl 1525.53032) Full Text: DOI arXiv
Grant, Mark; Schutte, Baylee Projective span of Wall manifolds. arXiv:2311.14107 Preprint, arXiv:2311.14107 [math.AT] (2023). MSC: 57R25 55S40 57R19 15A66 BibTeX Cite \textit{M. Grant} and \textit{B. Schutte}, ``Projective span of Wall manifolds'', Preprint, arXiv:2311.14107 [math.AT] (2023) Full Text: arXiv OA License
Ludewig, Matthias; Roos, Saskia The chiral anomaly of the free fermion in functorial field theory. (English) Zbl 1436.53032 Ann. Henri Poincaré 21, No. 4, 1191-1233 (2020). MSC: 53C27 58J52 53C80 57N99 81T99 PDFBibTeX XMLCite \textit{M. Ludewig} and \textit{S. Roos}, Ann. Henri Poincaré 21, No. 4, 1191--1233 (2020; Zbl 1436.53032) Full Text: DOI arXiv
Gilkey, Peter B. The geometry of spherical space form groups. 2nd edition. (English) Zbl 1395.57001 Series in Pure Mathematics 28. Singapore: World Scientific (ISBN 978-981-3220-78-2/hbk; 978-981-3220-80-5/ebook). xiii, 493 p. (2018). Reviewer: Thomas Schick (Göttingen) MSC: 57-02 57S25 57R57 58J35 57R85 58J20 58J28 PDFBibTeX XMLCite \textit{P. B. Gilkey}, The geometry of spherical space form groups. 2nd edition. Singapore: World Scientific (2018; Zbl 1395.57001) Full Text: DOI
Eschenburg, Jost; Hanke, Bernhard Bott periodicity, submanifolds, and vector bundles. (English) Zbl 1394.55013 Suh, Young Jin (ed.) et al., Hermitian-Grassmannian submanifolds. Daegu, Korea, July 2016. Proceedings of the 20th international workshop on Hermitian symmetric spaces and submanifolds, IWHSSS 2016, Daegu, South Korea, July 26–30, 2016. Singapore: Springer (ISBN 978-981-10-5555-3/hbk; 978-981-10-5556-0/ebook). Springer Proceedings in Mathematics & Statistics 203, 295-309 (2017). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55R45 55R50 53C35 53C15 15A66 57R22 57T20 PDFBibTeX XMLCite \textit{J. Eschenburg} and \textit{B. Hanke}, Springer Proc. Math. Stat. 203, 295--309 (2017; Zbl 1394.55013) Full Text: DOI arXiv
Pervova, Ekaterina Pseudo-bundles of exterior algebras as diffeological Clifford modules. (English) Zbl 1388.58002 Adv. Appl. Clifford Algebr. 27, No. 3, 2677-2737 (2017). Reviewer: Miroslaw Doupovec (Brno) MSC: 58A30 53C15 57R35 57R45 PDFBibTeX XMLCite \textit{E. Pervova}, Adv. Appl. Clifford Algebr. 27, No. 3, 2677--2737 (2017; Zbl 1388.58002) Full Text: DOI arXiv
Rudolph, Gerd; Schmidt, Matthias Differential geometry and mathematical physics. II: Fibre bundles, topology and gauge fields. (English) Zbl 1364.53001 Theoretical and Mathematical Physics (Cham). Dordrecht: Springer (ISBN 978-94-024-0958-1/hbk; 978-94-024-0959-8/ebook). xv, 830 p. (2017). Reviewer: Pascal Philipp (Exeter) MSC: 53-01 53C05 53C27 53C80 57R22 70S15 81T13 PDFBibTeX XMLCite \textit{G. Rudolph} and \textit{M. Schmidt}, Differential geometry and mathematical physics. II: Fibre bundles, topology and gauge fields. Dordrecht: Springer (2017; Zbl 1364.53001) Full Text: DOI
Ovsienko, Valentin; Tabachnikov, Serge On fibrations with flat fibres. (English) Zbl 1309.57024 Bull. Lond. Math. Soc. 45, No. 3, 625-632 (2013). Reviewer: Alice Kimie Miwa Libardi (Sao Paulo) MSC: 57R22 11R52 11E88 PDFBibTeX XMLCite \textit{V. Ovsienko} and \textit{S. Tabachnikov}, Bull. Lond. Math. Soc. 45, No. 3, 625--632 (2013; Zbl 1309.57024) Full Text: DOI arXiv
Duistermaat, J. J. The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator. Reprint of the 1996 original. (English) Zbl 1222.58014 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-8246-0/pbk; 978-0-8176-8247-7/ebook). x, 247 p. (2011). MSC: 58J20 53-02 53D05 53C27 57R15 58J35 58-02 58J37 PDFBibTeX XMLCite \textit{J. J. Duistermaat}, The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator. Reprint of the 1996 original. Basel: Birkhäuser (2011; Zbl 1222.58014) Full Text: DOI
Vacaru, Sergiu I.; González-Hernández, Juan F. Nonlinear connections on gerbes, Clifford-Finsler modules and the index theorems. (English) Zbl 1175.53034 Indian J. Math. 50, No. 3, 573-606 (2008). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C08 55R65 53C05 53C27 57R20 57R22 53B20 70H99 81T13 83C60 PDFBibTeX XMLCite \textit{S. I. Vacaru} and \textit{J. F. González-Hernández}, Indian J. Math. 50, No. 3, 573--606 (2008; Zbl 1175.53034) Full Text: arXiv
Husemöller, Dale; Joachim, Michael; Jurčo, Branislav; Schottenloher, Martin [Echterhoff, Siegfried; Fredenhagen, Stefan; Krötz, Bernhard] Basic bundle theory and \(K\)-cohomology invariants. With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz. (English) Zbl 1135.19001 Lecture Notes in Physics 726. Berlin: Springer (ISBN 978-3-540-74955-4/hbk). xv, 340 p. (2008). Reviewer: Haruo Minami (Nara) MSC: 19-01 19K99 55-01 46M20 14F05 55R10 55N15 19L47 55Q05 57R15 57R20 81T30 18F25 83E30 PDFBibTeX XMLCite \textit{D. Husemöller} et al., Basic bundle theory and \(K\)-cohomology invariants. With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz. Berlin: Springer (2008; Zbl 1135.19001)
Munteanu, Ovidiu On the generalized Clifford bundle. (English) Zbl 0972.57017 Differ. Geom. Dyn. Syst. 3, No. 1, 32-36 (2001). MSC: 57R22 15A66 57R15 55R10 PDFBibTeX XMLCite \textit{O. Munteanu}, Differ. Geom. Dyn. Syst. 3, No. 1, 32--36 (2001; Zbl 0972.57017)
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin The geometry of self-dual two-forms. (English) Zbl 0939.53016 J. Math. Phys. 38, No. 9, 4804-4814 (1997). Reviewer: M.Rahula (Tartu) MSC: 53C07 57R20 PDFBibTeX XMLCite \textit{A. H. Bilge} et al., J. Math. Phys. 38, No. 9, 4804--4814 (1997; Zbl 0939.53016) Full Text: DOI arXiv
Korbaš, Július On sectioning multiples of vector bundles and more general homomorphism bundles. (English) Zbl 0809.55009 Manuscr. Math. 82, No. 1, 67-70 (1994). Reviewer: G.Brunner (Dortmund) MSC: 55S40 57R22 57R25 PDFBibTeX XMLCite \textit{J. Korbaš}, Manuscr. Math. 82, No. 1, 67--70 (1994; Zbl 0809.55009) Full Text: DOI EuDML
Thelen, Stephan Algebraische Spin-Strukturen. (Algebraic spin-structures). (German) Zbl 0707.57013 Zürich: Universität Zürich, Philos. Fak. II, Diss. 55 S. (1990). Reviewer: K.Lamotke MSC: 57R22 53C05 57R15 PDFBibTeX XMLCite \textit{S. Thelen}, Algebraische Spin-Strukturen. (Algebraic spin-structures). Zürich: Universität Zürich, Philos. Fak. II (1990; Zbl 0707.57013)
Burlakov, M. P. Clifford structures of higher orders. (Russian) Zbl 0816.58003 Differ. Geom. Mnogoobr. Figur 20, 23-27 (1989). Reviewer: A.V.Aminova (Kazan’) MSC: 58A30 15A66 57R25 PDFBibTeX XMLCite \textit{M. P. Burlakov}, Differ. Geom. Mnogoobr. Figur 20, 23--27 (1989; Zbl 0816.58003)
Lawson, H. Blaine jun.; Michelsohn, Marie-Louise Spin geometry. (English) Zbl 0688.57001 Princeton Mathematical Series. 38. Princeton, NJ: Princeton University Press. xii, 427 p. $ 55.00 (1989). Reviewer: K.H.Mayer MSC: 57-02 57R15 53C20 58-02 57R20 57R42 57R22 58J32 58J20 15A66 58D17 PDFBibTeX XMLCite \textit{H. B. Lawson jun.} and \textit{M.-L. Michelsohn}, Spin geometry. Princeton, NJ: Princeton University Press (1989; Zbl 0688.57001)
Gilkey, Peter B. The geometry of spherical space form groups. (English) Zbl 0789.57001 Series in Pure Mathematics. 7. Singapore: World Scientific. 361 p. (1989). Reviewer: L. Maxim-Răileanu (Iaşi) MSC: 57-02 57S25 57R57 58J35 57R85 58J20 58J28 PDFBibTeX XMLCite \textit{P. B. Gilkey}, The geometry of spherical space form groups. Singapore: World Scientific (1989; Zbl 0789.57001)
Davies, E. B.; Rothaus, O. S. Markov semigroups on \(C^*\)-bundles. (English) Zbl 0694.46049 J. Funct. Anal. 85, No. 2, 264-286 (1989). Reviewer: A.Wulfsohn MSC: 46L51 46L53 46L54 47D07 57R25 17C10 PDFBibTeX XMLCite \textit{E. B. Davies} and \textit{O. S. Rothaus}, J. Funct. Anal. 85, No. 2, 264--286 (1989; Zbl 0694.46049) Full Text: DOI
Raussen, Martin Non-orthogonalisable vector fields on spheres. (English) Zbl 0551.57011 Proc. Edinb. Math. Soc., II. Ser. 27, 275-281 (1984). MSC: 57R25 55S40 55Q50 PDFBibTeX XMLCite \textit{M. Raussen}, Proc. Edinb. Math. Soc., II. Ser. 27, 275--281 (1984; Zbl 0551.57011) Full Text: DOI
Magneron, Bernard Fibrations équivariantes et cohomologie des groupes. (French) Zbl 0519.55003 C. R. Acad. Sci., Paris, Sér. I 295, 645-648 (1982). MSC: 55N91 57S99 55N05 20J05 PDFBibTeX XMLCite \textit{B. Magneron}, C. R. Acad. Sci., Paris, Sér. I 295, 645--648 (1982; Zbl 0519.55003)
Schwardmann, Ulrich Obstructions for Clifford structures on vector bundles. (English) Zbl 0458.57015 Math. Z. 179, 69-72 (1982). MSC: 57R15 57R20 55S40 55R40 55R25 PDFBibTeX XMLCite \textit{U. Schwardmann}, Math. Z. 179, 69--72 (1982; Zbl 0458.57015) Full Text: DOI EuDML
Toth, Gabor On the Atiyah-Singer index theorem. (Hungarian) Zbl 0506.55001 Mat. Lapok 29, 97-138 (1981). MSC: 55-02 58-02 57-02 55N10 55N15 55Rxx 57R15 57R19 57R20 57R60 58J20 58J10 PDFBibTeX XMLCite \textit{G. Toth}, Mat. Lapok 29, 97--138 (1981; Zbl 0506.55001)
Lawson, H. B. jun.; Michelsohn, M. L. Clifford bundles, immersions of manifolds and the vector field problem. (English) Zbl 0469.57022 J. Differ. Geom. 15, 237-267 (1980). MSC: 57R42 57R25 57R40 PDFBibTeX XMLCite \textit{H. B. Lawson jun.} and \textit{M. L. Michelsohn}, J. Differ. Geom. 15, 237--267 (1980; Zbl 0469.57022) Full Text: DOI
Mishchenko, A. S.; Solov’ev, Yu. P. Darstellungen von Banachalgebren und Formeln vom Hirzebruchschen Typ. (Russian) Zbl 0433.55002 Mat. Sb., N. Ser. 111(153), 209-226 (1980). MSC: 55N15 18F25 55R05 55N22 57R20 PDFBibTeX XMLCite \textit{A. S. Mishchenko} and \textit{Yu. P. Solov'ev}, Mat. Sb., Nov. Ser. 111(153), 209--226 (1980; Zbl 0433.55002)