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of 26
pro vyhledávání: '"Hoekzema, Renee S."'
Autor:
Calle, Maxine E., Hoekzema, Renee S., Murray, Laura, Pacheco-Tallaj, Natalia, Rovi, Carmen, Sridhar-Shapiro, Shruthi
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generators for a general nested cobordism category. Restricting to a low-dimen
Externí odkaz:
http://arxiv.org/abs/2403.01067
Cobordism groups and cut-and-paste groups of manifolds arise from imposing two different relations on the monoid of manifolds under disjoint union. By imposing both relations simultaneously, a cobordism cut and paste group $\overline{\mathrm{SK}}_n$
Externí odkaz:
http://arxiv.org/abs/2210.00682
Autor:
Hoekzema, Renee S., Marsh, Lewis, Sumray, Otto, Carroll, Thomas M., Lu, Xin, Byrne, Helen M., Harrington, Heather A.
Publikováno v:
Entropy 2022, 24(8), 1116
Analysis of single-cell transcriptomics often relies on clustering cells and then performing differential gene expression (DGE) to identify genes that vary between these clusters. These discrete analyses successfully determine cell types and markers;
Externí odkaz:
http://arxiv.org/abs/2206.07760
Autor:
Hoekzema, Renee S.
We call a manifold $k$-orientable if the $i^{th}$ Stiefel-Whitney class vanishes for all $i< 2^k$ ($k\geq 0$), generalising the notions of orientable (1-orientable) and spin (2-orientable). In \cite{Hoekzema2017} it was shown that $k$-orientable mani
Externí odkaz:
http://arxiv.org/abs/2007.05451
Recent work of Jonathan Campbell and Inna Zakharevich has focused on building machinery for studying scissors congruence problems via algebraic $K$-theory, and applying these tools to studying the Grothendieck ring of varieties. In this paper we give
Externí odkaz:
http://arxiv.org/abs/2001.00176
Publikováno v:
In Topology and its Applications 1 July 2022 316
Autor:
Hoekzema, Renee S.
It is well-known that odd-dimensional manifolds have Euler characteristic zero. Furthemore orientable manifolds have an even Euler characteristic unless the dimension is a multiple of $4$. We prove here a generalisation of these statements: a $k$-ori
Externí odkaz:
http://arxiv.org/abs/1704.06607
Publikováno v:
Proceedings: Biological Sciences, 2017 Sep . 284(1862), 1-9.
Externí odkaz:
https://www.jstor.org/stable/44683635
Akademický článek
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The ESM contains a description of the morphology of Dickinsonia, a description of the error analysis, the construction of the growth model and a manual to the interactive applet. It furthermore contains additional figures displaying our data.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d8c643c62be3f671baf144dd1c5b879