A generalized lower bound theorem for balanced manifolds
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Juhnke-Kubitzke, Martina | |
dc.contributor.author | Murai, Satoshi | |
dc.contributor.author | Novik, Isabella | |
dc.contributor.author | Sawaske, Connor | |
dc.date.accessioned | 2021-12-23T16:17:57Z | - |
dc.date.available | 2021-12-23T16:17:57Z | - |
dc.date.issued | 2018 | |
dc.identifier.issn | 00255874 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/12474 | - |
dc.description.abstract | A simplicial complex of dimension is said to be balanced if its graph is d-colorable. Juhnke-Kubitzke and Murai proved an analogue of the generalized lower bound theorem for balanced simplicial polytopes. We establish a generalization of their result to balanced triangulations of closed homology manifolds and balanced triangulations of orientable homology manifolds with boundary under an additional assumption that all proper links of these triangulations have the weak Lefschetz property. As a corollary, we show that if is an arbitrary balanced triangulation of any closed homology manifold of dimension , then , thus verifying a conjecture by Klee and Novik. To prove these results we develop the theory of flag H `'-vectors. | |
dc.description.sponsorship | German Research CouncilGerman Research Foundation (DFG) [DFG-GRK 1916]; JSPS KAKENHIMinistry of Education, Culture, Sports, Science and Technology, Japan (MEXT)Japan Society for the Promotion of ScienceGrants-in-Aid for Scientific Research (KAKENHI) [JP16K05102]; NSFNational Science Foundation (NSF) [DMS-1361423]; Juhnke-Kubitzke's research is partially supported by German Research Council DFG-GRK 1916. Murai's research is partially supported by JSPS KAKENHI JP16K05102. Novik's research is partially supported by NSF grant DMS-1361423. | |
dc.language.iso | en | |
dc.publisher | SPRINGER HEIDELBERG | |
dc.relation.ispartof | MATHEMATISCHE ZEITSCHRIFT | |
dc.subject | BUCHSBAUM RINGS | |
dc.subject | COHEN-MACAULAY COMPLEXES | |
dc.subject | COMBINATORIAL MANIFOLDS | |
dc.subject | CONJECTURE | |
dc.subject | Mathematics | |
dc.subject | NUMBER | |
dc.subject | POLYTOPES | |
dc.subject | PROPERTY | |
dc.subject | SIMPLICIAL COMPLEXES | |
dc.subject | SPHERES | |
dc.subject | TRIANGULATED MANIFOLDS | |
dc.title | A generalized lower bound theorem for balanced manifolds | |
dc.type | journal article | |
dc.identifier.doi | 10.1007/s00209-017-1981-1 | |
dc.identifier.isi | ISI:000439449900008 | |
dc.description.volume | 289 | |
dc.description.issue | 3-4 | |
dc.description.startpage | 921 | |
dc.description.endpage | 942 | |
dc.identifier.eissn | 14321823 | |
dc.publisher.place | TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY | |
dcterms.isPartOf.abbreviation | Math. Z. | |
dcterms.oaStatus | Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | JuMa420 | - |
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geprüft am 06.06.2024