Found 187 Documents (Results 1–100)
A note on invariant description of \(\mathrm{SU}(2)\)-structures in dimension 5. (English) Zbl 1532.53075
Reviewer: Ahmed Lesfari (El Jadida)
Topology and curvature of isoparametric families in spheres. (English) Zbl 1525.53032
Reviewer: Jianquan Ge (Beijing)
On the bundle of Clifford algebras over the space of quadratic forms. (English) Zbl 1518.15025
Reviewer: Eckhard Hitzer (Tokyo)
The slope of fibred surfaces: unitary rank and Clifford index. (English) Zbl 1525.14042
Reviewer: Jingshan Chen (Beijing)
Clifford systems, harmonic maps and metrics with nonnegative curvature. (English) Zbl 1511.55020
Reviewer: Guy Boyde (Utrecht)
On initialized and ACM line bundles over a smooth sextic surface in \(\mathbb{P}^3\). (English) Zbl 1514.14056
Reviewer: Jayan Mukherjee (Providence)
Higher rank Brill-Noether theory and coherent systems open questions. (English) Zbl 1495.14047
Reviewer: Stefano Pasotti (Brescia)
Lazarsfeld-Mukai bundles on \(K3\) surfaces associated with a pencil computing the Clifford index. (English) Zbl 1524.14077
Majorana neutrino masses by D-brane instanton effects in magnetized orbifold models. (English) Zbl 1487.81151
Dirac operators on real spinor bundles of complex type. (English) Zbl 1491.53065
Reviewer: Andrea Tamburelli (Houston)
Structures of spinors fiber bundles with special relativity of Dirac operator using the Clifford algebra. (English) Zbl 1514.55014
Spectral data for spin Higgs bundles. (English) Zbl 1470.14067
Reviewer: Ahmed Lesfari (El Jadida)
Bott-Thom isomorphism, Hopf bundles and Morse theory. (English) Zbl 1480.58002
Reviewer: Sergei S. Platonov (Petrozavodsk)
Mathematical models in science. (English) Zbl 1495.14002
Hackensack, NJ: World Scientific (ISBN 978-1-80061-027-9/hbk; 978-1-80061-029-3/ebook). xii, 306 p. (2021).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
MSC:
14-01
14-02
14A22
14B12
14C05
14D15
14D20
14H50
16D60
16G30
16G99
16S38
81-01
81R60
81T30
81Txx
83-01
83F05
Higher rank Clifford indices of curves on a \(K3\) surface. (English) Zbl 1470.14064
Reviewer: Shintaro Yanagida (Nagoya)
Differential geometry and Lie groups. A second course. (English) Zbl 1456.53001
Geometry and Computing 13. Cham: Springer (ISBN 978-3-030-46046-4/hbk; 978-3-030-46047-1/ebook). xiv, 620 p. (2020).
Reviewer: V. V. Gorbatsevich (Moskva)
An even Clifford diamond. (English) Zbl 1452.53043
Reviewer: Yun Myung Oh (Berrien Springs)
Real spinor bundles and real Lipschitz structures. (English) Zbl 1442.53038
Reviewer: Georges Habib (Fanar)
On the spin geometry of supergravity and string theory. (English) Zbl 1426.53068
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 229-235 (2019).
On stringy Euler characteristics of Clifford non-commutative varieties. (English) Zbl 1419.14002
Reviewer: Arvid Siqveland (Kongsberg)
The Mercat conjecture for stable rank 2 vector bundles on generic curves. (English) Zbl 1401.14161
Reviewer: Edoardo Ballico (Povo)
MSC:
14H60
Boson-fermion correspondence from factorization spaces. (English) Zbl 1391.14023
Reviewer: Arvid Siqveland (Kongsberg) (MR3754497)
Higher rank BN-theory for curves of genus 6. (English) Zbl 1390.14098
Reviewer: Edoardo Ballico (Povo)
MSC:
14H60
Some examples of rank-2 Brill-Noether loci. (English) Zbl 1388.14103
Reviewer: Aigli Papantonopoulou (Ewing)
MSC:
14H60
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)
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)
Pseudo-bundles of exterior algebras as diffeological Clifford modules. (English) Zbl 1388.58002
Reviewer: Miroslaw Doupovec (Brno)
Derivations and linear connections on Clifford vector bundles. (English) Zbl 1403.53026
Reviewer: Sirkka-Liisa Eriksson (Helsinki)
On a conjecture on linear systems. (English) Zbl 1375.14105
Reviewer: Edoardo Ballico (Povo)
The relativistic Hamilton-Jacobi equation for a massive, charged and spinning particle, its equivalent Dirac equation and the de Broglie-Bohm theory. (English) Zbl 1367.81049
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)
Symplectic spinors and Hodge theory. arXiv:1708.02026
Preprint, arXiv:1708.02026 [math.DG] (2017).
Higher rank BN-theory for curves of genus 5. (English) Zbl 1352.14024
Reviewer: Edoardo Ballico (Povo)
MSC:
14H60
A Clifford bundle approach to the wave equation of a spin \(1/2\) fermion in the de Sitter manifold. (English) Zbl 1337.81065
Quadric surface bundles over surfaces. (English) Zbl 1345.14046
Reviewer: Uriya First (Vancouver)
Construction of conformally invariant higher spin operators using transvector algebras. (English) Zbl 1303.81076
Reviewer: Takashi Ichinose (Kanazawa)
Lipschitz minimality of the multiplication maps of unit complex, quaternion and octonion numbers. (English) Zbl 1285.53050
Reviewer: Vasile Oproiu (Iaşi)
Bundles of rank 3 on curves of Clifford index 3. (English) Zbl 1320.14053
Reviewer: Edoardo Ballico (Povo)
MSC:
14H60
Vector bundles of rank 2 computing Clifford indices. (English) Zbl 1285.14038
Reviewer: Edoardo Ballico (Povo)
Bundles computing Clifford indices on trigonal curves. (English) Zbl 1277.14030
Reviewer: Nicolae Manolache (Bucureşti)
On fibrations with flat fibres. (English) Zbl 1309.57024
Reviewer: Alice Kimie Miwa Libardi (Sao Paulo)
Gravity, a geometrical course. Volume 1: Development of the theory and basic physical applications. (English) Zbl 1259.83001
Dordrecht: Springer (ISBN 978-94-007-5360-0/hbk; 978-94-007-5361-7/ebook). xviii, 336 p. (2013).
Reviewer: Jorge Pullin (Baton Rouge)
Bundles of rank 2 with small Clifford index on algebraic curves. (English) Zbl 1317.14077
Faber, Carel (ed.) et al., Geometry and arithmetic. Based on the conference, Island of Schiermonnikoog, Netherlands, September 2010. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-119-4/hbk). EMS Series of Congress Reports, 267-281 (2012).
Clifford modules, finite-dimensional approximation and twisted \(K\)-theory. (English) Zbl 1311.19004
Reviewer: Do Ngoc Diep (Hanoi)
Linear series on curves: stability and Clifford index. (English) Zbl 1278.14050
Reviewer: Usha N. Bhosle (Mumbai)
Non-associativity in the Clifford bundle on the parallelizable torsion 7-sphere. (English) Zbl 1254.15028
Higher trace and Berezinian of matrices over a Clifford algebra. (English) Zbl 1308.15023
Reviewer: Albert Sheu (Lawrence)
On representations of Clifford algebras of ternary cubic forms. (English) Zbl 1271.14057
Ara, P. (ed.) et al., New trends in noncommutative algebra. A conference in honor of Ken Goodearl’s 65th birthday, Washington, Seattle, WA, USA, August 9–14, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5297-2). Contemporary Mathematics 562, 91-99 (2012).
Reviewer: Maria Chiara Brambilla (Ancona)
On an example of Mukai. (English) Zbl 1246.14049
Reviewer: Nadezda Timofeeva (Yaroslavl)
Stable bundles of rank 2 with four sections. (English) Zbl 1237.14041
Reviewer: Nadezda Timofeeva (Yaroslavl)
Spinor sheaves on singular quadrics. (English) Zbl 1235.14038
Reviewer: Luca Chiantini (Siena)
Clifford structures on Riemannian manifolds. (English) Zbl 1231.53042
Reviewer: Beniamino Cappelletti Montano (Cagliari)
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).
Möbius gyrogroups: a Clifford algebra approach. (English) Zbl 1246.20062
Reviewer: Liudmila Sabinina (Cuernavaca)
Lower bounds for Clifford indices in rank three. (English) Zbl 1226.14045
Reviewer: Jesse Leo Kass (Ann Arbor)
Framed torsion-free sheaves on \(\mathbb {CP}^2\), Hilbert schemes, and representations of infinite dimensional Lie algebras. (English) Zbl 1219.14011
Reviewer: Zhenbo Qin (Columbia)
Clifford indices for vector bundles on curves. (English) Zbl 1227.14038
Schmitt, Alexander (ed.), Affine flag manifolds and principal bundles. Basel: Birkhäuser (ISBN 978-3-0346-0287-7/hbk). Trends in Mathematics, 165-202 (2010).
Reviewer: Nadezda Timofeeva (Yaroslavl)
MSC:
14H60
14F05
ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration. (English) Zbl 1202.81237
Clifford bundles: a common framework for image, vector field, and orthonormal frame field regularization. (English) Zbl 1211.68476
Generation of vector bundles computing Clifford indices. (English) Zbl 1202.14035
Reviewer: Vasile Brînzănescu (Bucureşti)
Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves. (English) Zbl 1213.14011
Reviewer: Oleksandr Iena (Trieste)
The exceptional \(E_8\) geometry of Clifford (16) superspace and conformal gravity Yang-Mills grand unification. (English) Zbl 1177.81142
Reviewer: Marian Ioan Munteanu (Iaşi)
Dirac type gauge theories – motivations and perspectives. (English) Zbl 1173.53022
Reviewer: Joseph D. Zund (Las Cruces)
Dirac generating operators and Manin triples. (English) Zbl 1168.15024
Reviewer: Rodica Covaci (Cluj-Napoca)
Nonlinear connections on gerbes, Clifford-Finsler modules and the index theorems. (English) Zbl 1175.53034
Reviewer: Joseph D. Zund (Las Cruces)
Brill-Noether theory for rank two vector bundles generated by their sections. (English) Zbl 1166.14012
Reviewer: Hristo Krassimirov Iliev (Sofia)
MSC:
14F05
14H60
Clifford-Kähler manifolds. (English) Zbl 1165.53049
Inhomogeneous Cauchy-Riemann system of quaternion and Clifford analysis. (English) Zbl 1159.30031
Le Hung Son (ed.) et al., Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1–5, 2007. Hanoi: National University Publishers. 127-155 (2008).
Reviewer: Anatoly Filip Grishin (Khar’kov)
Clifford’s theorem for coherent systems. (English) Zbl 1136.14022
Reviewer: Edoardo Ballico (Povo)
MSC:
14H60
14F05
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)
Normal generation of line bundles of degree \(2g-2h^1(L)-\mathrm{Cliff}(X)-k(k=2,3,4)\) on curves. (English) Zbl 1137.14023
Reviewer: Cicero Carvalho (Uberlandia)
Geometry of curves and Koszul cohomology. (English) Zbl 1130.14026
Andrica, Dorin (ed.) et al., Modern trends in geometry and topology. Proceedings of the 7th international workshop on differential geometry and its applications, Deva, Romania, September 5–11, 2005. Cluj-Napoca: Cluj University Press (ISBN 973-610-429-X/hbk). 37-45 (2006).
Reviewer: Edoardo Ballico (Povo)
On Finsler fiber bundles and the evolution of the calculus. (English) Zbl 1108.53015
Balan, Vladimir (ed.), Proceedings of the 5th conference of the Balkan Society of Geometers, Mangalia, Romania, August 29–September 2, 2005. Bucharest: Geometry Balkan Press (ISBN 973-8381-14-2). 183-191 (2006).
Reviewer: Vladimir Balan (Bucureşti)
MSC:
53B40
Inhomogeneous Cauchy-Riemann system of quaternion and Clifford analysis in ellipsoids. (English) Zbl 1158.30037
Reviewer: Lidia Elena Kozma (Baia Mare)
Monogenic function theory on Poincaré space by means of a projective model. (English) Zbl 1098.30035
Eriksson, Sirkka-Liisa (ed.), Clifford analysis and applications. Proceedings of the summer school, Tampere University of Technology, Tampere, Finland, August 2–6, 2004. Tampere: Tampere University of Technology, Inst. of Mathematics (ISBN 952-15-1573-2/pbk). Research Report. Tampere University of Technology, Institute of Mathematics 82, 45-58 (2006).
MSC:
30G35
Cartan-Weyl Dirac and Laplacian operators, Brownian motions: the quantum potential and scalar curvature, Maxwell’s and Dirac-Hestenes equations, and supersymmetric systems. (English) Zbl 1119.83350
Nonlinear connections and isotopic Clifford structures. (English) Zbl 1073.53033
Tsagas, Grigorios (ed.), Proceedings of the conference on applied differential geometry and general relativity and the workshop on global analysis, differential geometry and Lie algebras, Thessaloniki, Greece, 2002. Bucharest: Geometry Balkan Press; Bucharest: Balkan Society of Geometers (ISBN 973-8381-08-8/pbk). BSG Proceedings 11, 153-196 (2004).
Reviewer: Ralph G. Beil (Marshall)
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