Fischer, Greta, Gutt, Jean and Junger, Michael . Algorithmic Symplectic Packing. Exp. Math.. PHILADELPHIA: TAYLOR & FRANCIS INC. ISSN 1944-950X
Full text not available from this repository.Abstract
In this article we explore a symplectic packing problem where the targets and domains are 2n-dimensional symplectic manifolds. We work in the context where the manifolds have first homology group equal to Z(n) , and we require the embeddings to induce isomorphisms between first homology groups. In this case, Miller Maley, Mastrangeli, and Traynor showed that the problem can be reduced to a combinatorial optimization problem, namely packing certain allowable simplices into a given standard simplex. They designed a computer program and presented computational results. In particular, they determined the simplex packing widths in dimension four for up to k = 12 simplices, along with lower bounds for higher values of k. We present a modified algorithmic approach that allows us to determine the k-simplex packing widths for up to k = 13 simplices in dimension four and up to k = 8 simplices in dimension six. Moreover, our approach determines all simplex-multisets that allow for optimal packings.
| Item Type: | Journal Article | ||||||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-670991 | ||||||||||||||||
| DOI: | 10.1080/10586458.2022.2041135 | ||||||||||||||||
| Journal or Publication Title: | Exp. Math. | ||||||||||||||||
| Publisher: | TAYLOR & FRANCIS INC | ||||||||||||||||
| Place of Publication: | PHILADELPHIA | ||||||||||||||||
| ISSN: | 1944-950X | ||||||||||||||||
| Language: | English | ||||||||||||||||
| Faculty: | Unspecified | ||||||||||||||||
| Divisions: | Unspecified | ||||||||||||||||
| Subjects: | no entry | ||||||||||||||||
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/67099 |
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