Smooth structures on pseudomanifolds with isolated conical singularities

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10191636" target="_blank" >RIV/00216208:11320/13:10191636 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/13:00391461

Result on the web

<a href="http://link.springer.com/article/10.1007%2Fs40306-013-0009-0" target="_blank" >http://link.springer.com/article/10.1007%2Fs40306-013-0009-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40306-013-0009-0" target="_blank" >10.1007/s40306-013-0009-0</a>

Result language

angličtina

Original language name

Smooth structures on pseudomanifolds with isolated conical singularities

Original language description

In this note we introduce the notion of a smooth structure on a conical pseudomanifold M in terms of C oo-rings of smooth functions on M. For a finitely generated smooth structure C oo(M) we introduce the notion of the Nash tangent bundle, the Zariski tangent bundle, the tangent bundle of M, and the notion of characteristic classes of M. We prove the vanishing of a Nash vector field at a singular point for a special class of Euclidean smooth structures on M. We introduce the notion of a conical symplectic form on M and show that it is smooth with respect to a Euclidean smooth structure on M. If a conical symplectic structure is also smooth with respect to a compatible Poisson smooth structure C oo(M), we show that its Brylinski-Poisson homology groupscoincide with the de Rham homology groups of M. We show nontrivial examples of these smooth conical symplectic-Poisson pseudomanifolds.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Acta Mathematica Vietnamica

ISSN

0251-4184

e-ISSN

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Volume of the periodical

2013

Issue of the periodical within the volume

38

Country of publishing house

DE - GERMANY

Number of pages

22

Pages from-to

33-54

UT code for WoS article

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EID of the result in the Scopus database

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