A1-homotopy theory

By S. Pauli. 2017

114 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a27f61150336a2ec2cf4f0bca056eaf57fe1fb99

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1. Bogdan Gheorghe
2. Zhouli Xu
3. Guozhen Wang
4. Sarah Scherotzke
5. Nicolò Sibilla

Citations in the corpus

• Higher traces, noncommutative motives, and the categorified Chern character (2015, background): “where SH(X)∨ is the dual of Voevodsky’s stable A1-homotopy category over X [36], MotA1(Perf(X)) ⊂ Mot(Perf(X)) is the reflective subcategory of A1-local motives [30], and ModZ/2(DX) is the ∞-category of Z/2-graded D-modules over X.”
• The special fiber of the motivic deformation of the stable homotopy category is algebraic (2018, background): “[69] Voevodsky, V., A1-homotopy theory, in Proceedings of the International Congress of Mathematicians, Vol.”