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The L-Homology Fundamental Class for IP-...

Banagl, Markus...

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The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture by Banagl, Markus ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	An IP-space is a pseudomanifold whose defining local properties imply that its middle perversity global intersection homology groups satisfy Poincar\'e duality integrally. We show that the symmetric signature induces a map of Quinn spectra from IP bordism to the symmetric $L$-spectrum of $\Z$, which is, up to weak equivalence, an $E_\infty$ ring map. Using this map, we construct a fundamental $L$-homology class for IP-spaces, and as a consequence we prove the stratified Novikov conjecture for IP-spaces.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1404.5395

Citation

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AMA 11th EditionReferences

Banagl, Markus. The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23361

APA 7th EditionReferences

Banagl, Markus. (2023). The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture. Australian National University. https://online.provdatabase.com/cite/23361

Chicago 17th EditionReferences

Banagl, Markus. The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture. Australian National University. 2023. https://online.provdatabase.com/cite/23361

HarvardReferences

Banagl, Markus. (2023). The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23361. (Accessed 20 September 2024).

Harvard AustraliaReferences

Banagl, Markus, 2023, The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23361>

MLA 9th EditionWorks Cited

Banagl, Markus. The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23361.

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