Found 201 Documents (Results 1–100)
Geometry of linear algebras. (English. Russian original) Zbl 1532.15016
J. Math. Sci., New York 277, No. 5, 711-717 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 182, 3-9 (2020).
Harmonic metrics of generically regular semisimple Higgs bundles on noncompact Riemann surfaces. (English) Zbl 1530.53036
Reviewer: Ahmed Lesfari (El Jadida)
Geometric analysis on real analytic manifolds. (English) Zbl 1529.32001
Lecture Notes in Mathematics 2333. Cham: Springer (ISBN 978-3-031-37912-3/pbk; 978-3-031-37913-0/ebook). xv, 314 p. (2023).
Brauer and Picard groups of moduli spaces of parabolic vector bundles on a real curve. (English) Zbl 1516.14064
A semi-equivariant Dixmier-Douady invariant. (English) Zbl 1514.55004
Reviewer: Jonathan Rosenberg (College Park)
Schwartz homologies of representations of almost linear Nash groups. (English) Zbl 1478.22008
Reviewer: Jan Frahm (Aarhus)
Topological invariants of parabolic \(G\)-Higgs bundles. (English) Zbl 1457.14026
Reviewer: Ahmed Lesfari (El Jadida)
Comparison of stratified-algebraic and topological K-theory. (English) Zbl 1455.14112
Reviewer: Victor Zvonilov (Nizhny Novgorod)
Smooth manifolds. (English) Zbl 1459.53001
Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-49774-3/pbk; 978-3-030-49775-0/ebook). xii, 154 p. (2020).
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
Parabolic vector bundles on Klein surfaces. (English) Zbl 1441.14115
Reviewer: Insong Choe (Seoul)
The moduli space of real vector bundles of rank two over a real hyperelliptic curve. (English) Zbl 1445.14052
Principal parts of a vector bundle on projective line and the fractional derivative. (English) Zbl 1432.14003
Reviewer: Helge Øystein Maakestad (Sætre i Hurum)
Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles. (English) Zbl 1428.14057
Reviewer: Georgios Kydonakis (Strasbourg)
From continuous rational to regulous functions. (English) Zbl 1441.14191
Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 719-747 (2018).
Regulous vector bundles. (English) Zbl 1420.14004
Reviewer: Zofia Denkowska (Angers)
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins. (English) Zbl 1408.53035
Reviewer: Georgios Kydonakis (Strasbourg)
A Torelli theorem for moduli spaces of principal bundles on curves defined over \(\mathbb{R}\). (English) Zbl 1386.14059
Reviewer: Edoardo Ballico (Povo)
Eventual positivity of Hermitian polynomials and integral operators. (English) Zbl 1360.13059
Reviewer: Mihai Putinar (Santa Barbara)
The canonical line bundles over equivariant real projective spaces. (English) Zbl 1330.57041
Reviewer: Alice Kimie Miwa Libardi (Sao Paulo)
Pseudo-real principal Higgs bundles on compact Kähler manifolds. (Fibrés principaux pseudo-réels sur une variété kählérienne.) (English. French summary) Zbl 1329.14106
Reviewer: André Oliveira (Porto)
Classification of “real” Bloch-bundles: topological quantum systems of type AI. (English) Zbl 1316.57019
Reviewer: I. A. Parinov (Rostov-na-Donu)
Time-varying vector fields and their flows. (English) Zbl 1321.58001
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-10138-5/pbk; 978-3-319-10139-2/ebook). viii, 119 p. (2014).
Reviewer: Miroslav Doupovec (Brno)
Span of vector bundles \(m\xi_n\) over \({RP}^n\) and stable extendibility. III. (English) Zbl 1308.57016
Reviewer: Yutaka Hemmi (Kochi)
The Yang-Mills equations over Klein surfaces. (English) Zbl 1288.14022
Reviewer: José Javier Etayo (Madrid)
Topology of iterated \(S^{1}\)-bundles. (English) Zbl 1297.57062
Reviewer: Alice Kimie Miwa Libardi (Sao Paulo)
Holomorphic realization of unitary representations of Banach-Lie groups. (English) Zbl 1282.22012
Huckleberry, Alan (ed.) et al., Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7192-9/hbk; 978-1-4614-7193-6/ebook). Progress in Mathematics 306, 185-223 (2013).
Reviewer: Walter Freyn (Augsburg)
Stable extendibility of vector bundles over real projective spaces. (English) Zbl 1282.55018
Reviewer: Cristian Costinescu (Bucureşti)
Abelian Yang-Mills theory on real tori and theta divisors of Klein surfaces. (English) Zbl 1287.14030
Reviewer: Sergiy Koshkin (Houston)
Vector bundles and regulous maps. (English) Zbl 1288.14042
Reviewer: Jose Manuel Gamboa (Madrid)
Nonnegative polynomials from vector bundles on real curves. (English) Zbl 1307.14051
Reviewer: Tobias Kaiser (Passau)
Span of vector bundles \(m\xi_n\) over \(RP^n\) and stable extendibility. II. (English) Zbl 1273.57019
The tangent bundles over equivariant real projective spaces. (English) Zbl 1243.55006
Reviewer: Alice Kimie Miwa Libardi (Sao Paulo)
Structure and geometry of Lie groups. (English) Zbl 1229.22008
Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-0-387-84793-1/hbk; 978-0-387-84794-8/ebook). x, 744 p. (2012).
Reviewer: Volodymyr Mazorchuk (Uppsala)
Universal vector bundle over the reals. (English) Zbl 1251.14022
Reviewer: P. E. Newstead (Liverpool)
Sub-Riemannian geometry of parallelizable spheres. (English) Zbl 1228.53043
Reviewer: Nathaniel Eldredge (Ithaca)
Improved Chen-Ricci inequality for curvature-like tensors and its applications. (English) Zbl 1230.53053
Reviewer: Costache Apreutesei (Iaşi)
Regularity for the CR vector bundle problem. II. (English) Zbl 1223.32022
Reviewer: Mauro Nacinovich (Roma)
An application of ample vector bundles in real algebraic geometry. (English) Zbl 1217.14014
Reviewer: Nicolae Manolache (Bucureşti)
Growth of balls of holomorphic sections and energy at equilibrium. (English) Zbl 1208.32020
Reviewer: Alexandr Yu. Rashkovsky (Stavanger)
The moduli space of stable vector bundles over a real algebraic curve. (English) Zbl 1195.14048
Reviewer: P. E. Newstead (Liverpool)
Modules over twisted group rings and vector bundles over the anisotropic real conic. (English) Zbl 1192.14015
Reviewer: Vasile Brînzănescu (Bucureşti)
MSC:
14F05
14P99
Stable extendibility of vector bundles over \(\mathbb{RP}^n\) and the stable splitting problem. (English) Zbl 1153.55014
Principal bundles over a smooth real projective curve of genus zero. (English) Zbl 1160.14022
Reviewer: Nicolae Manolache (Bucureşti)
Stable real algebraic vector bundles over a Klein bottle. (English) Zbl 1155.14029
Reviewer: V. V. Chueshev (Kemerovo)
Stable extendibility of normal bundles associated to immersions of \(\mathbb RP^n\) in \(\mathbb R^{2n}\). (English) Zbl 1149.57041
The stringy E-function of the moduli space of Higgs bundles with trivial determinant. (English) Zbl 1173.14024
Reviewer: P. E. Newstead (Liverpool)
Absolutely split real algebraic vector bundles over a real form of projective space. (English) Zbl 1129.14082
Reviewer: Edoardo Ballico (Povo)
MSC:
14P99
14F05
The power of the normal bundle associated to an immersion of \(RP^n\), its complexification and extendibility. (English) Zbl 1129.57034
Reviewer: Haruo Minami (Nara)
Geometric representation theory for unitary groups of operator algebras. (English) Zbl 1108.22008
Reviewer: Helge Glöckner (Darmstadt)
Additive Riemann-Hilbert problem in line bundles over \(\mathbb C\mathbb P^1\). (English) Zbl 1106.32013
Reviewer: Edoardo Ballico (Povo)
Stable extendibility of \(m\tau_n\) over real projective spaces. (English) Zbl 1095.55009
Reviewer: Haruo Minami (Nara)
\(C\)-totally real submanifolds of a Sasakian space form. (Chinese. English summary) Zbl 1093.53060
Reviewer: Liu Hui-Li (Shenyang)
Connections on principal bundles over Kähler manifolds with antiholomorphic involution. (English) Zbl 1093.32007
Reviewer: Edoardo Ballico (Povo)
Classification of real algebraic vector bundles over the real anisotropic conic. (English) Zbl 1084.14033
Reviewer: Edoardo Ballico (Povo)
Splitting 3-plane sub-bundles over the product of two real projective spaces. (English) Zbl 1079.55016
Stable extendibility of vector bundles over real projective spaces and bounds for the Schwarzenberger numbers \(\beta(k)\). (English) Zbl 1062.55016
Reviewer: Piotr Krasoń (Szczecin)
Extendible and stably extendible vector bundles over real projective spaces. (English) Zbl 1041.55012
Reviewer: Haruo Minami (Nara)
Holomorphic vector bundles and their sections with prescribed poles on Riemann surfaces. (English) Zbl 1053.30034
Stable extendibility of vector bundles over real projective spaces and determination of the Schwarzenberger number \(\beta(k)\). (English) Zbl 1035.55011
Reviewer: Haruo Minami (Nara)
Extendibility, stable extendibility and span of vector bundles \(m\xi_ n\) over real projective spaces. (English) Zbl 1035.55012
Reviewer: Haruo Minami (Nara)
Notes on homogeneous vector bundles over complex flag manifolds. (English) Zbl 1034.22008
Malyshev, V. A. (ed.) et al., Asymptotic combinatorics with application to mathematical physics. Proceedings of the NATO Advanced Study Institute, St. Petersburg, Russia, July 9–22, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0792-2/hbk; 1-4020-0793-0/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 77, 245-254 (2002).
Reviewer: A. L. Onishchik (Yaroslavl)
Unit tangent bundle over two-dimensional real projective space. (English) Zbl 1040.53051
Reviewer: Serguey M. Pokas (Odessa)
Extendibility and stable extendibility of the square of the normal bundle associated to an immersion of the real projective space. (English) Zbl 1020.55002
Reviewer: Haruo Minami (Nara)
Holomorphic vector bundles and Nash vector bundles. (English) Zbl 1027.32014
Reviewer: Elizabeth Gasparim (Las Cruces)
Lectures in differential geometry. (Lektsii po differentsial’noj geometrii.) (Russian) Zbl 1066.53001
Izhevsk: Institut Komp’yuternykh Issledovanij (ISBN 5-93972-105-2). 176 p. (2002).
Reviewer: Victor Alexandrov (Novosibirsk)
On \(J\)-orders of elements of \(K\text{O}(\mathbb{C}\text{P}^m)\). (English) Zbl 1018.19002
Reviewer: Cristian Costinescu (Bucureşti)
Differentiable manifolds. 2nd ed. (English) Zbl 0994.57001
Birkhäuser Advanced Texts. Boston, MA: Birkhäuser. xiii, 418 p. (2001).
Reviewer: Gh.Pitiş (Braşov)
Differential operators on equivariant vector bundles over symmetric spaces. (English) Zbl 0954.43004
Reviewer: Zhu Fulin (Hubei)
Théorèmes de Lefschetz pour les lieux de dégénérescence. (Lefschetz’ theorems for degeneracy loci). (French) Zbl 0964.14016
Reviewer: Juan C.Migliore (Notre Dame)
The cobordism classification of projective space bundles. (English) Zbl 0954.55015
Reviewer: Zvonko Čerin (Zagreb)
Stable extendibility of normal bundles associated to immersions of real projective spaces and lens spaces. (English) Zbl 0951.55018
Reviewer: Taras E.Panov (Moskva)
Cohomological induction in various categories and the maximal globalization conjecture. (English) Zbl 0954.22009
Reviewer: M.G.Eastwood (Adelaide)
Stably extendible vector bundles over the real projective spaces and the lens spaces. (English) Zbl 0946.55010
Reviewer: Haruo Minami (Nara)
Comparison of the Beilinson-Chern classes with the Chern-Cheeger-Simons classes. (English) Zbl 0915.57013
Brylinski, Jean-Luc (ed.) et al., Advances in geometry. Boston, MA: Birkhäuser. Prog. Math. 172, 95-105 (1999).
Reviewer: Gh.Pitiş (Braşov)
Embeddings of real projective spaces. (English) Zbl 0906.57012
Reviewer: J.Korbaš (Bratislava)
MSC:
57R40
Recent progress in the topology of projective Stiefel manifolds. (English) Zbl 0921.57008
Reviewer: M.Craioveanu (Timişoara)
Decomposition of a vector field in a parallelized induced bundle. (English) Zbl 0904.22006
Reviewer: V.F.Molchanov (Tambov)
MSC:
22E30
Geometric realizations of representations of finite length. (English) Zbl 0881.22011
Reviewer: E.Kryachko (Kiev)
MSC:
22E45
The intermediate cohomology modules of a rank two vector bundle on \(\mathbb{P}^3\) are not split. (English) Zbl 0892.14013
Reviewer: A.Dimca (Bordeaux)
Stable rank of the \(C^*\)-algebras of solvable Lie groups of type I. (English) Zbl 0892.46074
Reviewer: Albert Sheu (Lawrence)
Geometric aspects of the complex Heisenberg group. (English) Zbl 0876.22010
Reviewer: Na Jisheng (Beijing)
Note on relations between \(\gamma\)-classes and characteristic classes. (English) Zbl 0878.55002
Reviewer: C.Costinescu (Bucureşti)
MSC:
55N15
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