Algebraic & Geometric Topology Volume 21, issue 4 (2021)

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

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Thom isomorphisms in triangulated motivic categories

Alexey Ananyevskiy

Algebraic & Geometric Topology 21 (2021) 2085–2106

DOI: 10.2140/agt.2021.21.2085

Bibliography

1	A Ananyevskiy, SL-oriented cohomology theories, from: "Motivic homotopy theory and refined enumerative geometry" (editors F Binda, M Levine, M T Nguyen, O Röndigs), Contemp. Math. 745, Amer. Math. Soc. (2020) 1 MR4071210
2	A Asok, J Fasel, B Williams, Motivic spheres and the image of the Suslin–Hurewicz map, Invent. Math. 219 (2020) 39 MR4050101
3	J Ayoub, La réalisation étale et les opérations de Grothendieck, Ann. Sci. École Norm. Sup. 47 (2014) 1 MR3205601
4	T Bachmann, B Calmès, F Déglise, J Fasel, P A Østvær, Milnor–Witt motives, preprint (2020) arXiv:2004.06634
5	T Bachmann, M Hoyois, Norms in motivic homotopy theory, preprint (2017) arXiv:1711.03061
6	T Bachmann, K Wickelgren, 𝔸¹–Euler classes : six functors formalisms, dualities, integrality and linear subspaces of complete intersections, preprint (2020) arXiv:2002.01848
7	D C Cisinski, F Déglise, Triangulated categories of mixed motives, Springer (2019) MR3971240
8	A Druzhinin, H Kolderup, Cohomological correspondence categories, Algebr. Geom. Topol. 20 (2020) 1487 MR4105557
9	D Dugger, D C Isaksen, Motivic Hopf elements and relations, New York J. Math. 19 (2013) 823 MR3141814
10	E Elmanto, H Kolderup, On modules over motivic ring spectra, Ann. K–Theory 5 (2020) 327 MR4113773
11	G Garkusha, Reconstructing rational stable motivic homotopy theory, Compos. Math. 155 (2019) 1424 MR3975501
12	D C Isaksen, Étale realization on the 𝔸¹–homotopy theory of schemes, Adv. Math. 184 (2004) 37 MR2047848
13	C Mazza, V Voevodsky, C Weibel, Lecture notes on motivic cohomology, 2, Amer. Math. Soc. (2006) MR2242284
14	F Morel, An introduction to 𝔸¹–homotopy theory, from: "Contemporary developments in algebraic K–theory" (editors M Karoubi, A O Kuku, C Pedrini), ICTP Lect. Notes 15, Abdus Salam Int. Cent. Theoret. Phys. (2004) 357 MR2175638
15	F Morel, 𝔸¹–algebraic topology over a field, 2052, Springer (2012) MR2934577
16	F Morel, V Voevodsky, 𝔸¹–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
17	I Panin, K Pimenov, O Röndigs, A universality theorem for Voevodsky’s algebraic cobordism spectrum, Homology Homotopy Appl. 10 (2008) 211 MR2475610
18	I Panin, C Walter, On the algebraic cobordism spectra MSL and MSp, preprint (2010) arXiv:1011.0651
19	G Quick, Stable étale realization and étale cobordism, Adv. Math. 214 (2007) 730 MR2349718
20	O Röndigs, P A Østvær, Modules over motivic cohomology, Adv. Math. 219 (2008) 689 MR2435654
21	O Röndigs, M Spitzweck, P A Østvær, The first stable homotopy groups of motivic spheres, Ann. of Math. 189 (2019) 1 MR3898173
22	V Voevodsky, 𝔸¹–homotopy theory, from: "Proceedings of the International Congress of Mathematicians, I" (editors G Fischer, U Rehmann), Deutsche Mathematiker Vereinigung (1998) 579 MR1648048
23	N Yang, Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology, Manuscripta Math. 164 (2021) 39 MR4203683