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On the relation of symplectic algebraic ...

Panin, Ivan...

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On the relation of symplectic algebraic cobordism to hermitian K-theory by Panin, Ivan ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	31-07-2023
Summary	We reconstruct hermitian K-theory via algebraic symplectic cobordism. In the motivic stable homotopy category SH(S) there is a unique morphism g : MSp -> BO of commutative ring T- spectra which sends the Thom class th^{MSp} to the Thom class th^{BO}. We show that the induced morphism of bigraded cohomology theories MSp^{,} -> BO^{,} is isomorphic to the morphism of bigraded cohomology theories obtained by applying to MSp^{,} the "change of (simply graded) coefficients rings" MSp^{4,2} -> BO^{4,2}. This is an algebraic version of the theorem of Conner and Floyd reconstructing real K-theory via symplectic cobordism.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1011.0652

Citation

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AMA 11th EditionReferences

Panin, Ivan. On the relation of symplectic algebraic cobordism to hermitian K-theory. N.A. July 31, 2023. Accessed September 19, 2024. https://online.provdatabase.com/cite/2572

APA 7th EditionReferences

Panin, Ivan. (2023). On the relation of symplectic algebraic cobordism to hermitian K-theory. N.A. https://online.provdatabase.com/cite/2572

Chicago 17th EditionReferences

Panin, Ivan. On the relation of symplectic algebraic cobordism to hermitian K-theory. N.A. 2023. https://online.provdatabase.com/cite/2572

HarvardReferences

Panin, Ivan. (2023). On the relation of symplectic algebraic cobordism to hermitian K-theory. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2572. (Accessed 19 September 2024).

Harvard AustraliaReferences

Panin, Ivan, 2023, On the relation of symplectic algebraic cobordism to hermitian K-theory, N.A, viewed 19 September 2024, <https://online.provdatabase.com/cite/2572>

MLA 9th EditionWorks Cited

Panin, Ivan. On the relation of symplectic algebraic cobordism to hermitian K-theory. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/2572.

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