nLab Aravind Asok

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Selected writings

On motivic homotopy theory and h-cobordism:

• Aravind Asok, Fabien Morel, Smooth varieties up to $\mathbb{A}^1$-homotopy and algebraic h-cobordisms, Adv. Math. 227 (5) (2011) 1990-2058 [arXiv:0810.0324, doi:10.1016/j.aim.2011.04.009]

and representability:

• Aravind Asok, Marc Hoyois, Matthias Wendt, Affine representability results in $\mathbb{A}^1$-homotopy theory I: Vector bundles, Duke Math. J. 166 10 (2017) 1923-1953 [arXiv:1506.07093, doi:10.1215/00127094-0000014X]

• Aravind Asok, Marc Hoyois, Matthias Wendt, Affine representability results in $\mathbb{A} ^1$-homotopy theory II: Principal bundles and homogeneous spaces, Geom. Topol. 22 (2018) 1181-1225 [arXiv:1507.08020, doi:10.2140/gt.2018.22.1181]

On (stable) motivic Cohomotopy of schemes (as motivic homotopy classes of maps into motivic Tate spheres):

• Aravind Asok, Jean Fasel, Mrinal Kanti Das, Euler class groups and motivic stable cohomotopy, Journal of the EMS 24 8 (2022) 2775–2822 [arXiv:1601.05723, doi:10.4171/jems/1156]

On Yang-Mills theory and Tamagawa numbers:

• Aravind Asok, Brent Doran, Frances Kirwan, Yang-Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics, Bulletin of the London Mathematical Society (2008), (arXiv:0801.4733, doi:10.48550/arXiv.0801.4733, doi:10.1112/blms/bdn036)

On GAGA phenomena relating algebraic geometry and analytic geometry:

• Aravind Asok, Tom Bachmann, Michael J. Hopkins: Algebraic vs. analytic: a survey [arXiv:2607.26190]

category: people