Universität zu Köln

Godinho, Leonor ORCID: 0000-0002-6329-3002, von Heymann, Frederik ORCID: 0000-0001-9640-543X and Sabatini, Silvia ORCID: 0000-0001-7521-321X (2017). 12, 24 and beyond. Adv. Math., 319. S. 472 - 522. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2082

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Abstract

We generalize the well-known 12 and 24 theorems for reflexive polytopes of dimension 2 and 3 to any smooth reflexive polytope. Our methods apply to a wider category of objects, here called reflexive GKM graphs, that are associated with certain monotone symplectic manifolds which do not necessarily admit a toric action. As an application, we provide bounds on the Betti numbers for certain monotone Hamiltonian spaces which depend on the minimal Chem number of the manifold. (C) 2017 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Godinho, Leonor UNSPECIFIED orcid.org/0000-0002-6329-3002 UNSPECIFIED von Heymann, Frederik UNSPECIFIED orcid.org/0000-0001-9640-543X UNSPECIFIED Sabatini, Silvia UNSPECIFIED orcid.org/0000-0001-7521-321X UNSPECIFIED
URN:	urn:nbn:de:hbz:38-214185
DOI:	10.1016/j.aim.2017.08.023
Journal or Publication Title:	Adv. Math.
Volume:	319
Page Range:	S. 472 - 522
Date:	2017
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1090-2082
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EQUIVARIANT COHOMOLOGY; BETTI NUMBERS; CO-HOMOLOGY; MANIFOLDS; CONVEXITY; POLYTOPES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21418