The partial quotients of Moment-angle manifolds over a polygon

Verfasser / Beitragende:
[Deng Liu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/2(2015-02-01), 319-330
Format:
Artikel (online)
ID: 605462208
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024 7 0 |a 10.1007/s10114-015-3104-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3104-4 
100 1 |a Liu  |D Deng  |u Department of Mathematics, Guangxi Normal University, 541004, Guilin, P. R. China  |4 aut 
245 1 4 |a The partial quotients of Moment-angle manifolds over a polygon  |h [Elektronische Daten]  |c [Deng Liu] 
520 3 |a In this paper, we generalize the conception of characteristic function in toric topology and construct many new smooth manifolds by using it. As an application, we classify the Moment-Angle manifolds and the partial quotients manifolds of them over a polygon. In the appendix we give a simple new proof for Orlik-Raymond's theorem in terms of characteristic function which gives the classification for quasitoric manifolds of dimension 4. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Simple convex polytope  |2 nationallicence 
690 7 |a characteristic function  |2 nationallicence 
690 7 |a moment-angle manifolds  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/2(2015-02-01), 319-330  |x 1439-8516  |q 31:2<319  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-3104-4  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-3104-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Liu  |D Deng  |u Department of Mathematics, Guangxi Normal University, 541004, Guilin, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/2(2015-02-01), 319-330  |x 1439-8516  |q 31:2<319  |1 2015  |2 31  |o 10114