Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

A local combinatorial formula for the Ch...

Mnev, Nikolai...

Free

Share this content

A local combinatorial formula for the Chern class of a triangulated $S^1$ bundle in terms of shellings by Mnev, Nikolai ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	Here we are fixing an output of a trivial calculation based on Konsevich's differential 2-form for the Chern class of polygon bundle. As a result an interesting combinatorics and arithmetics jumps right out of a jukebox. The calculation gives very simple rational combinatorial characteristics (we call it "curvature") of a triangulated $S^1$ bundle over a 2-simplex, which is a local combinatorial formula for the first Chern class. The curvature is expressed in terms of cyclic word in 3-character alphabet associated to the bundle. From the point of view of simplicial combinatorics the word is a canonical shelling of the total complex. If you know a triangulation of a bundle - you can really easily compute the Chern class.
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/1108.4733

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Mnev, Nikolai. A local combinatorial formula for the Chern class of a triangulated $S^1$ bundle in terms of shellings. Australian National University. July 27, 2023. Accessed September 19, 2024. https://online.provdatabase.com/cite/5076

APA 7th EditionReferences

Mnev, Nikolai. (2023). A local combinatorial formula for the Chern class of a triangulated $S^1$ bundle in terms of shellings. Australian National University. https://online.provdatabase.com/cite/5076

Chicago 17th EditionReferences

Mnev, Nikolai. A local combinatorial formula for the Chern class of a triangulated $S^1$ bundle in terms of shellings. Australian National University. 2023. https://online.provdatabase.com/cite/5076

HarvardReferences

Mnev, Nikolai. (2023). A local combinatorial formula for the Chern class of a triangulated $S^1$ bundle in terms of shellings. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5076. (Accessed 19 September 2024).

Harvard AustraliaReferences

Mnev, Nikolai, 2023, A local combinatorial formula for the Chern class of a triangulated $S^1$ bundle in terms of shellings, Australian National University, viewed 19 September 2024, <https://online.provdatabase.com/cite/5076>

MLA 9th EditionWorks Cited

Mnev, Nikolai. A local combinatorial formula for the Chern class of a triangulated $S^1$ bundle in terms of shellings. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5076.

Share this eBook