Algebraic & Geometric Topology Volume 23, issue 8 (2023)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Milnor–Witt motivic cohomology of complements of hyperplane arrangements

Keyao Peng

Algebraic & Geometric Topology 23 (2023) 3531–3552

DOI: 10.2140/agt.2023.23.3531

Bibliography

1	T Bachmann, B Calmès, F Déglise, J Fasel, P A Østvær, Milnor–Witt motives, preprint (2020) arXiv:2004.06634
2	J Barge, F Morel, Groupe de Chow des cycles orientés et classe d’Euler des fibrés vectoriels, C. R. Acad. Sci. Paris Sér. I Math. 330 (2000) 287 MR1753295
3	B Calmès, J Fasel, A comparison theorem for MW-motivic cohomology, preprint (2017) arXiv:1708.06100
4	A Chatzistamatiou, Motivic cohomology of the complement of hyperplane arrangements, Duke Math. J. 138 (2007) 375 MR2322681
5	D C Cisinski, F Déglise, Triangulated categories of mixed motives, Springer (2019) MR3971240
6	F Déglise, J Fasel, The Milnor–Witt motivic ring spectrum and its associated theories, preprint (2017) arXiv:1708.06102
7	F Déglise, J Fasel, MW-motivic complexes, preprint (2017) arXiv:1708.06095
8	P H Edelman, A partial order on the regions of ℝⁿ dissected by hyperplanes, Trans. Amer. Math. Soc. 283 (1984) 617 MR737888
9	J Fasel, Groupes de Chow–Witt, 113, Soc. Math. France (2008) MR2542148
10	J Hornbostel, M Wendt, H Xie, M Zibrowius, The real cycle class map, Ann. K–Theory 6 (2021) 239 MR4301905
11	J A Jacobson, Real cohomology and the powers of the fundamental ideal in the Witt ring, Ann. K–Theory 2 (2017) 357 MR3658988
12	F Morel, 𝔸¹–algebraic topology over a field, 2052, Springer (2012) MR2934577
13	F Morel, V Voevodsky, 𝔸¹–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
14	N Yang, Projective bundle theorem in MW-motivic cohomology, Doc. Math. 26 (2021) 1045 MR4324460
15	N Yang, Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology, Manuscripta Math. 164 (2021) 39 MR4203683