Hamenstädt, Ursula Some topological properties of surface bundles. (English) Zbl 1519.57026 Kechris, A. (ed.) et al., Nine mathematical challenges. An elucidation. Proceedings of the Linde Hall inaugural math symposium, California Institute of Technology, Pasadena, CA, USA, February 22–24, 2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 104, 87-105 (2021). MSC: 57R22 57R20 PDFBibTeX XMLCite \textit{U. Hamenstädt}, Proc. Symp. Pure Math. 104, 87--105 (2021; Zbl 1519.57026) Full Text: DOI arXiv
Brasselet, Jean-Paul An introduction to characteristic classes. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. (English) Zbl 1507.14010 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-65-89124-15-3). viii, 123 p., open access (2021). MSC: 14C17 55R40 57R20 57R25 58K45 PDFBibTeX XMLCite \textit{J.-P. Brasselet}, An introduction to characteristic classes. Paper from the 33rd Brazilian mathematics colloquium -- 33\degree Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2--6, 2021. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2021; Zbl 1507.14010) Full Text: Link
Klaus, Stephan Pseudo-angle systems and the simplicial Gauss-Bonnet-Chern theorem. (English) Zbl 1502.57021 Dearricott, Owen (ed.) et al., Differential geometry in the large. Proceedings of the Australian-German workshop on differential geometry in the large, Creswick, Australia, February 4–15, 2019. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 463, 311-325 (2021). MSC: 57R20 57N65 PDFBibTeX XMLCite \textit{S. Klaus}, Lond. Math. Soc. Lect. Note Ser. 463, 311--325 (2021; Zbl 1502.57021) Full Text: DOI
Sullivan, Dennis Rokhlin’s theorem, a problem and a conjecture. (English) Zbl 1496.57003 Vershik, Anatoly M. (ed.) et al., Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19–23, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 772, 325-329 (2021). MSC: 57-03 01A70 57R85 57K40 57K30 55N22 57R20 PDFBibTeX XMLCite \textit{D. Sullivan}, Contemp. Math. 772, 325--329 (2021; Zbl 1496.57003) Full Text: DOI
Weiss, Michael S. Rational Pontryagin classes of Euclidean fiber bundles. (English) Zbl 1491.57021 Geom. Topol. 25, No. 7, 3351-3424 (2021). Reviewer: Jens Reinhold (Münster) MSC: 57N55 57R20 57R40 PDFBibTeX XMLCite \textit{M. S. Weiss}, Geom. Topol. 25, No. 7, 3351--3424 (2021; Zbl 1491.57021) Full Text: DOI arXiv
Naolekar, Aniruddha C. Euler classes of vector bundles over manifolds. (English) Zbl 1483.57034 Math. Slovaca 71, No. 1, 199-210 (2021). Reviewer: Shigeaki Miyoshi (Tokyo) MSC: 57R20 PDFBibTeX XMLCite \textit{A. C. Naolekar}, Math. Slovaca 71, No. 1, 199--210 (2021; Zbl 1483.57034) Full Text: DOI
Wang, Jianbo; Wang, Yuyu; Yu, Zhiwang Elliptic genera of level \(N\) for complete intersections. (English) Zbl 1486.57037 Front. Math. China 16, No. 4, 1043-1062 (2021). Reviewer: Michael Wiemeler (Münster) MSC: 57R20 14M10 57S15 PDFBibTeX XMLCite \textit{J. Wang} et al., Front. Math. China 16, No. 4, 1043--1062 (2021; Zbl 1486.57037) 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
Krebs, Johannes; Roycraft, Benjamin; Polonik, Wolfgang On approximation theorems for the Euler characteristic with applications to the bootstrap. (English) Zbl 1491.60049 Electron. J. Stat. 15, No. 2, 4462-4509 (2021). Reviewer: Carlos Meniño (Vigo) MSC: 60F17 62F40 60B10 60D05 57R20 PDFBibTeX XMLCite \textit{J. Krebs} et al., Electron. J. Stat. 15, No. 2, 4462--4509 (2021; Zbl 1491.60049) Full Text: DOI arXiv Link
Corrêa, Maurício; Lourenço, Fernando; Machado, Diogo; Ferreira, Antonio M. On Gauss-Bonnet and Poincaré-Hopf type theorems for complex \(\partial\)-manifolds. (English) Zbl 1483.14008 Mosc. Math. J. 21, No. 3, 493-506 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14C17 32S65 57R20 32S25 14B05 PDFBibTeX XMLCite \textit{M. Corrêa} et al., Mosc. Math. J. 21, No. 3, 493--506 (2021; Zbl 1483.14008) Full Text: arXiv Link
Frenck, Georg; Kordaß, Jan-Bernhard Spaces of positive intermediate curvature metrics. (English) Zbl 1518.58007 Geom. Dedicata 214, 767-800 (2021). Reviewer: Alexander Schmeding (Trondheim) MSC: 58D17 53C21 57R20 57R65 57R90 58D05 PDFBibTeX XMLCite \textit{G. Frenck} and \textit{J.-B. Kordaß}, Geom. Dedicata 214, 767--800 (2021; Zbl 1518.58007) Full Text: DOI arXiv
Balko, Ľudovít A note on the height of the third Stiefel-Whitney class of the canonical vector bundles over some Grassmann manifolds. (English) Zbl 07396217 Commentat. Math. Univ. Carol. 62, No. 2, 169-174 (2021). MSC: 57N65 57R20 PDFBibTeX XMLCite \textit{Ľ. Balko}, Commentat. Math. Univ. Carol. 62, No. 2, 169--174 (2021; Zbl 07396217) Full Text: DOI
Albuquerque, Rui The Euler characteristic of hypersurfaces in space forms and applications to isoparametric hypersurfaces. (English) Zbl 1476.53087 Pac. J. Math. 312, No. 2, 259-277 (2021). MSC: 53C42 53C30 57R20 58A15 PDFBibTeX XMLCite \textit{R. Albuquerque}, Pac. J. Math. 312, No. 2, 259--277 (2021; Zbl 1476.53087) Full Text: DOI arXiv
Luckhardt, Daniel A volume comparison theorem for characteristic numbers. (English) Zbl 1486.57036 Ann. Global Anal. Geom. 60, No. 3, 687-708 (2021). Reviewer: James Hebda (St. Louis) MSC: 57R20 53C05 57R19 PDFBibTeX XMLCite \textit{D. Luckhardt}, Ann. Global Anal. Geom. 60, No. 3, 687--708 (2021; Zbl 1486.57036) Full Text: DOI arXiv
Zuevsky, A. The simplest cohomological invariants for vertex algebras. (English) Zbl 1477.17091 J. Geom. Phys. 168, Article ID 104306, 17 p. (2021). MSC: 17B69 17B56 57R20 PDFBibTeX XMLCite \textit{A. Zuevsky}, J. Geom. Phys. 168, Article ID 104306, 17 p. (2021; Zbl 1477.17091) Full Text: DOI arXiv
Li, Ping Nonnegative Hermitian vector bundles and Chern numbers. (English) Zbl 1470.32077 Math. Ann. 380, No. 1-2, 21-41 (2021). MSC: 32Q55 53C55 32M10 57R20 57R22 PDFBibTeX XMLCite \textit{P. Li}, Math. Ann. 380, No. 1--2, 21--41 (2021; Zbl 1470.32077) Full Text: DOI arXiv
Brasselet, Jean-Paul; Suwa, Tatsuo Local and global coincidence homology classes. (English) Zbl 1462.14007 J. Fixed Point Theory Appl. 23, No. 2, Paper No. 24, 18 p. (2021). MSC: 14C17 55M20 14B05 57N65 32S65 57R20 55M05 PDFBibTeX XMLCite \textit{J.-P. Brasselet} and \textit{T. Suwa}, J. Fixed Point Theory Appl. 23, No. 2, Paper No. 24, 18 p. (2021; Zbl 1462.14007) Full Text: DOI arXiv
Fehér, László M.; Rimányi, Richárd; Weber, Andrzej Motivic Chern classes and K-theoretic stable envelopes. (English) Zbl 1522.14018 Proc. Lond. Math. Soc. (3) 122, No. 1, 153-189 (2021). Reviewer: Kalyan Banerjee (Chennai) MSC: 14C35 14C17 14D20 19D55 57R20 14E15 14H70 PDFBibTeX XMLCite \textit{L. M. Fehér} et al., Proc. Lond. Math. Soc. (3) 122, No. 1, 153--189 (2021; Zbl 1522.14018) Full Text: DOI arXiv
Konno, Hokuto Characteristic classes via 4-dimensional gauge theory. (English) Zbl 1520.57031 Geom. Topol. 25, No. 2, 711-773 (2021). Reviewer: Markus Szymik (Sheffield) MSC: 57R20 57R57 PDFBibTeX XMLCite \textit{H. Konno}, Geom. Topol. 25, No. 2, 711--773 (2021; Zbl 1520.57031) Full Text: DOI arXiv
Hebestreit, Fabian; Land, Markus; Lück, Wolfgang; Randal-Williams, Oscar A vanishing theorem for tautological classes of aspherical manifolds. (English) Zbl 1469.55008 Geom. Topol. 25, No. 1, 47-110 (2021). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55R20 55R40 55R60 57P10 57R20 PDFBibTeX XMLCite \textit{F. Hebestreit} et al., Geom. Topol. 25, No. 1, 47--110 (2021; Zbl 1469.55008) Full Text: DOI arXiv
Li, Hui Hamiltonian circle actions with almost minimal isolated fixed points. (English) Zbl 1483.53092 J. Geom. Phys. 163, Article ID 104141, 12 p. (2021). Reviewer: Elizabeth Gasparim (Antofagasta) MSC: 53D05 53D20 55N25 57R20 PDFBibTeX XMLCite \textit{H. Li}, J. Geom. Phys. 163, Article ID 104141, 12 p. (2021; Zbl 1483.53092) Full Text: DOI arXiv
Ganguly, Jyotirmoy; Joshi, Rohit Spinorial representations of orthogonal groups. (English) Zbl 1472.22007 J. Lie Theory 31, No. 1, 265-286 (2021). Reviewer: Jorge Vargas (Córdoba) MSC: 22E47 22E41 57R20 PDFBibTeX XMLCite \textit{J. Ganguly} and \textit{R. Joshi}, J. Lie Theory 31, No. 1, 265--286 (2021; Zbl 1472.22007) Full Text: arXiv Link
Huang, Ruizhi; Han, Fei; Duan, Haibao \(\text{String}^c\) structures and modular invariants. (English) Zbl 1472.53059 Trans. Am. Math. Soc. 374, No. 5, 3491-3533 (2021). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C27 55R35 57S15 57R20 22E67 55R40 57R15 PDFBibTeX XMLCite \textit{R. Huang} et al., Trans. Am. Math. Soc. 374, No. 5, 3491--3533 (2021; Zbl 1472.53059) Full Text: DOI arXiv
Huang, Teng; Tan, Qiang \(L^2\)-hard Lefschetz complete symplectic manifolds. (English) Zbl 1462.53073 Ann. Mat. Pura Appl. (4) 200, No. 2, 505-520 (2021). MSC: 53D35 57R20 58A12 PDFBibTeX XMLCite \textit{T. Huang} and \textit{Q. Tan}, Ann. Mat. Pura Appl. (4) 200, No. 2, 505--520 (2021; Zbl 1462.53073) Full Text: DOI arXiv
Krannich, Manuel; Kupers, Alexander; Randal-Williams, Oscar An \(\mathrm{HP}^2\)-bundle over \(\mathrm{S}^4\) with nontrivial \(\hat{A}\)-genus. (English. French summary) Zbl 1461.57015 C. R., Math., Acad. Sci. Paris 359, No. 2, 149-154 (2021). Reviewer: Jens Reinhold (Münster) MSC: 57R20 55R40 57R22 58D17 PDFBibTeX XMLCite \textit{M. Krannich} et al., C. R., Math., Acad. Sci. Paris 359, No. 2, 149--154 (2021; Zbl 1461.57015) Full Text: DOI arXiv
Liu, Wenran Chern characters in equivariant basic cohomology. (English. French summary) Zbl 1460.53029 C. R., Math., Acad. Sci. Paris 359, No. 1, 1-5 (2021). MSC: 53C12 57R20 58J05 PDFBibTeX XMLCite \textit{W. Liu}, C. R., Math., Acad. Sci. Paris 359, No. 1, 1--5 (2021; Zbl 1460.53029) Full Text: DOI arXiv
Bei, Francesco; Piazza, Paolo A note on higher Todd genera of complex manifolds. (English) Zbl 1458.32021 Rend. Mat. Appl., VII. Ser. 42, No. 1, 49-60 (2021). Reviewer: Joonhyung Kim (Jeonju) MSC: 32L10 19L10 32Q55 57R20 PDFBibTeX XMLCite \textit{F. Bei} and \textit{P. Piazza}, Rend. Mat. Appl., VII. Ser. 42, No. 1, 49--60 (2021; Zbl 1458.32021) Full Text: arXiv Link
Kitada, Yasuhiko; Nagura, Maki The first Pontrjagin classes of homotopy complex projective spaces. (English) Zbl 1476.57050 Topology Appl. 287, Article ID 107447, 19 p. (2021). Reviewer: Yanghyun Byun (Seoul) MSC: 57R20 57R55 57R67 PDFBibTeX XMLCite \textit{Y. Kitada} and \textit{M. Nagura}, Topology Appl. 287, Article ID 107447, 19 p. (2021; Zbl 1476.57050) Full Text: DOI arXiv
Giansiracusa, Jeffrey; Kupers, Alexander; Tshishiku, Bena Characteristic classes of bundles of \(K3\) manifolds and the Nielsen realization problem. (English) Zbl 1442.19013 Tunis. J. Math. 3, No. 1, 75-92 (2021). MSC: 19J35 57R20 11F75 14J28 PDFBibTeX XMLCite \textit{J. Giansiracusa} et al., Tunis. J. Math. 3, No. 1, 75--92 (2021; Zbl 1442.19013) Full Text: DOI arXiv
Watanabe, Tadayuki Addendum to: Some exotic nontrivial elements of the rational homotopy groups of \(\mathrm{Diff}(S^4)\) (homological interpretation). arXiv:2109.01609 Preprint, arXiv:2109.01609 [math.GT] (2021). MSC: 57S05 57R50 57R40 57R20 57K45 BibTeX Cite \textit{T. Watanabe}, ``Addendum to: Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$ (homological interpretation)'', Preprint, arXiv:2109.01609 [math.GT] (2021) Full Text: arXiv OA License
Biswas, Indranil; Looijenga, Eduard Characteristic forms for holomorphic families of local systems. arXiv:2107.10482 Preprint, arXiv:2107.10482 [math.AG] (2021). MSC: 53C07 53B10 57R20 14J42 BibTeX Cite \textit{I. Biswas} and \textit{E. Looijenga}, ``Characteristic forms for holomorphic families of local systems'', Preprint, arXiv:2107.10482 [math.AG] (2021) Full Text: arXiv OA License
Bárcenas, Noé; Calles, Jaime The ideal-valued index of fibrations with total space a \(G_{2}\) flag manifold. arXiv:2103.01279 Preprint, arXiv:2103.01279 [math.AT] (2021). MSC: 55N91 55T10 57R20 14M15 BibTeX Cite \textit{N. Bárcenas} and \textit{J. Calles}, ``The ideal-valued index of fibrations with total space a $G_{2}$ flag manifold'', Preprint, arXiv:2103.01279 [math.AT] (2021) Full Text: arXiv OA License
Li, Ping The complex genera, symmetric functions and multiple zeta values. arXiv:2112.01192 Preprint, arXiv:2112.01192 [math.DG] (2021). MSC: 57R20 05E05 05A18 11M32 53C26 BibTeX Cite \textit{P. Li}, ``The complex genera, symmetric functions and multiple zeta values'', Preprint, arXiv:2112.01192 [math.DG] (2021) Full Text: arXiv OA License
Bettiol, Renato G.; Kummer, Mario; Mendes, Ricardo A. E. Geography of pinched four-manifolds. arXiv:2106.02138 Preprint, arXiv:2106.02138 [math.DG] (2021). MSC: 53C20 53C21 53C25 57K40 57R20 52B55 90C20 BibTeX Cite \textit{R. G. Bettiol} et al., ``Geography of pinched four-manifolds'', Preprint, arXiv:2106.02138 [math.DG] (2021) Full Text: arXiv OA License
Kato, Tsuyoshi; Kishimoto, Daisuke; Tsutaya, Mitsunobu Hilbert bundles with ends. arXiv:2105.02981 Preprint, arXiv:2105.02981 [math.KT] (2021). MSC: 57R20 57R22 46L80 46C05 34K08 BibTeX Cite \textit{T. Kato} et al., ``Hilbert bundles with ends'', Preprint, arXiv:2105.02981 [math.KT] (2021) Full Text: arXiv OA License
Frenck, Georg Diffeomorphisms and positive curvature. arXiv:2104.10595 Preprint, arXiv:2104.10595 [math.DG] (2021). MSC: 57R20 53C21 55R40 57R22 58D17 58D05 BibTeX Cite \textit{G. Frenck}, ``Diffeomorphisms and positive curvature'', Preprint, arXiv:2104.10595 [math.DG] (2021) Full Text: arXiv OA License
Winterroth, Ekkehart Variational cohomology and topological solitons in Yang-Mills-Chern-Simons theories. arXiv:2103.03037 Preprint, arXiv:2103.03037 [hep-th] (2021). MSC: 53C07 53Z05 57R20 81T13 81T20 BibTeX Cite \textit{E. Winterroth}, ``Variational cohomology and topological solitons in Yang-Mills-Chern-Simons theories'', Preprint, arXiv:2103.03037 [hep-th] (2021) Full Text: arXiv OA License