Asok, Aravind; Hoyois, Marc; Wendt, Matthias Affine representability results in \(\mathbb A^1\)-homotopy theory. III: Finite fields and complements. (English) Zbl 07262981 Algebr. Geom. 7, No. 5, 634-644 (2020). MSC: 14F42 14L10 55R15 20G15 PDF BibTeX XML Cite \textit{A. Asok} et al., Algebr. Geom. 7, No. 5, 634--644 (2020; Zbl 07262981) Full Text: DOI
Asok, Aravind; Déglise, Frédéric; Nagel, Jan The homotopy Leray spectral sequence. (English) Zbl 1440.14122 Binda, Federico (ed.) et al., Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14–18, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 745, 21-68 (2020). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 55R20 PDF BibTeX XML Cite \textit{A. Asok} et al., Contemp. Math. 745, 21--68 (2020; Zbl 1440.14122) Full Text: DOI
Asok, A.; Fasel, J.; Hopkins, M. J. Obstructions to algebraizing topological vector bundles. (English) Zbl 07040512 Forum Math. Sigma 7, Paper No. e6, 18 p. (2019). MSC: 14F42 32L05 55R25 13C10 PDF BibTeX XML Cite \textit{A. Asok} et al., Forum Math. Sigma 7, Paper No. e6, 18 p. (2019; Zbl 07040512) Full Text: DOI
Asok, Aravind; Hoyois, Marc; Wendt, Matthias Affine representability results in \(\mathbb A^1\)-homotopy theory. II: Principal bundles and homogeneous spaces. (English) Zbl 1400.14061 Geom. Topol. 22, No. 2, 1181-1225 (2018). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 55R15 14L10 20G15 PDF BibTeX XML Cite \textit{A. Asok} et al., Geom. Topol. 22, No. 2, 1181--1225 (2018; Zbl 1400.14061) Full Text: DOI
Asok, Aravind; Fasel, Jean An explicit \(KO\)-degree map and applications. (English) Zbl 1400.14060 J. Topol. 10, No. 1, 268-300 (2017). MSC: 14F42 19E15 18F25 19G38 55R45 PDF BibTeX XML Cite \textit{A. Asok} and \textit{J. Fasel}, J. Topol. 10, No. 1, 268--300 (2017; Zbl 1400.14060) Full Text: DOI
Asok, Aravind; Hoyois, Marc; Wendt, Matthias Affine representability results in \(\mathbb{A}^1\)-homotopy theory. I: Vector bundles. (English) Zbl 1401.14118 Duke Math. J. 166, No. 10, 1923-1953 (2017). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 55R15 PDF BibTeX XML Cite \textit{A. Asok} et al., Duke Math. J. 166, No. 10, 1923--1953 (2017; Zbl 1401.14118) Full Text: DOI Euclid arXiv
Asok, Aravind; Wickelgren, Kirsten; Williams, Ben The simplicial suspension sequence in \(\mathbb A^1\)-homotopy. (English) Zbl 1365.14027 Geom. Topol. 21, No. 4, 2093-2160 (2017). Reviewer: Tom Bachmann (Essen) MSC: 14F42 19E15 55Q15 55Q20 55Q25 PDF BibTeX XML Cite \textit{A. Asok} et al., Geom. Topol. 21, No. 4, 2093--2160 (2017; Zbl 1365.14027) Full Text: DOI arXiv
Asok, Aravind; Fasel, Jean Secondary characteristic classes and the Euler class. (English) Zbl 1349.14078 Doc. Math. Extra Vol., Alexander S. Merkurjev’s Sixtieth Birthday, 7-29 (2015). MSC: 14F42 14C15 13C10 55S20 PDF BibTeX XML Cite \textit{A. Asok} and \textit{J. Fasel}, Doc. Math. Extra Vol., 7--29 (2015; Zbl 1349.14078) Full Text: EMIS arXiv
Asok, Aravind; Fasel, Jean Splitting vector bundles outside the stable range and \(\mathbb A^1\) – homotopy sheaves of punctured affine spaces. (English) Zbl 1329.14045 J. Am. Math. Soc. 28, No. 4, 1031-1062 (2015). Reviewer: Tom Bachmann (München) MSC: 14F42 55S35 13C10 19A13 19D45 PDF BibTeX XML Cite \textit{A. Asok} and \textit{J. Fasel}, J. Am. Math. Soc. 28, No. 4, 1031--1062 (2015; Zbl 1329.14045) Full Text: DOI arXiv
Asok, Aravind; Fasel, Jean A cohomological classification of vector bundles on smooth affine threefolds. (English) Zbl 1314.14044 Duke Math. J. 163, No. 14, 2561-2601 (2014). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 55S35 19D45 13C10 19A13 PDF BibTeX XML Cite \textit{A. Asok} and \textit{J. Fasel}, Duke Math. J. 163, No. 14, 2561--2601 (2014; Zbl 1314.14044) Full Text: DOI arXiv
Asok, Aravind; Fasel, Jean Algebraic vector bundles on spheres. (English) Zbl 1326.14098 J. Topol. 7, No. 3, 894-926 (2014). Reviewer: N. Mohan Kumar (St. Louis) MSC: 14J60 13C10 14F42 19D45 55S35 PDF BibTeX XML Cite \textit{A. Asok} and \textit{J. Fasel}, J. Topol. 7, No. 3, 894--926 (2014; Zbl 1326.14098) Full Text: DOI arXiv
Asok, Aravind Splitting vector bundles and \(\mathbb A^{1}\)-fundamental groups of higher-dimensional varieties. (English) Zbl 1300.14024 J. Topol. 6, No. 2, 311-348 (2013). Reviewer: Philip Herrmann (Hamburg) MSC: 14F35 14F42 14J10 55S35 19D45 PDF BibTeX XML Cite \textit{A. Asok}, J. Topol. 6, No. 2, 311--348 (2013; Zbl 1300.14024) Full Text: DOI arXiv
Asok, Aravind; Haesemeyer, Christian Stable \(\mathbb A^1\)-homotopy and \(R\)-equivalence. (English) Zbl 1244.14016 J. Pure Appl. Algebra 215, No. 10, 2469-2472 (2011). Reviewer: Gereon Quick (Cambridge) MSC: 14F42 14G05 55P42 PDF BibTeX XML Cite \textit{A. Asok} and \textit{C. Haesemeyer}, J. Pure Appl. Algebra 215, No. 10, 2469--2472 (2011; Zbl 1244.14016) Full Text: DOI arXiv
Asok, Aravind; Doran, Brent \(\mathbb A^1\)-homotopy groups, excision, and solvable quotients. (English) Zbl 1190.14018 Adv. Math. 221, No. 4, 1144-1190 (2009). Reviewer: Werner Kleinert (Berlin) MSC: 14F35 14L30 14M25 18E35 18F20 55Q70 PDF BibTeX XML Cite \textit{A. Asok} and \textit{B. Doran}, Adv. Math. 221, No. 4, 1144--1190 (2009; Zbl 1190.14018) Full Text: DOI arXiv
Asok, Aravind Equivariant vector bundles on certain affine \(G\)-varieties. (English) Zbl 1110.14042 Pure Appl. Math. Q. 2, No. 4, 1085-1102 (2006). MSC: 14L30 14M17 14F05 55R91 PDF BibTeX XML Cite \textit{A. Asok}, Pure Appl. Math. Q. 2, No. 4, 1085--1102 (2006; Zbl 1110.14042) Full Text: DOI arXiv