Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Dorette Pronk"'
Autor:
Laura Scull, Dorette Pronk
Publikováno v:
Homology, Homotopy and Applications. 23:25-47
We construct a 2-category version of tom Dieck's equivariant fundamental groupoid for representable orbifolds and show that the discrete fundamental groupoid is Morita invariant; hence an orbifold invariant for representable orbifolds.
Cartesian reverse differential categories (CRDCs) are a recently defined structure which categorically model the reverse differentiation operations used in supervised learning. Here, we define a related structure called a monoidal reverse differentia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1261a3e439f00a9b85d3533b98b7cc07
With the increased interest in machine learning, and deep learning in particular, the use of automatic differentiation has become more wide-spread in computation. There have been two recent developments to provide the theoretical support for this typ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da7a0bc3acdd83c9fa6346f9a3fd19df
http://arxiv.org/abs/2101.10491
http://arxiv.org/abs/2101.10491
Autor:
Laura Scull, Dorette Pronk
Publikováno v:
Canadian Journal of Mathematics. 69:851-853
Autor:
Dorette Pronk, Laura Scull
Publikováno v:
Canadian Journal of Mathematics. 62:614-645
We show that the bicategory of (representable) orbifolds and good maps is equivalent to the bicategory of orbifold translation groupoids and generalized equivariant maps, giving a mechanism for transferring results from equivariant homotopy theory to
Publikováno v:
Algebr. Geom. Topol. 8, no. 4 (2008), 1855-1959
Recercat. Dipósit de la Recerca de Catalunya
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Recercat. Dipósit de la Recerca de Catalunya
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In this paper we obtain several model structures on {\bf DblCat}, the category of small double categories. Our model structures have three sources. We first transfer across a categorification-nerve adjunction. Secondly, we view double categories as i
Publikováno v:
Electronic Notes in Theoretical Computer Science. 172:101-132
We consider Segal's categorical approach to conformal field theory (CFT). Segal constructed a category whose objects are finite families of circles, and whose morphisms are Riemann surfaces with boundary compatible with the families of circles in the
Publikováno v:
Applied Categorical Structures. 11:403-419
In this paper we discuss some aspects of categories obtained by freely adding right adjoints to all arrows in a category. We will give a description of the arrows and 2-cells in such a category and show how the equivalence relation on the 2-cells for
Autor:
Dorette Pronk, Ieke Moerdijk
Publikováno v:
K-Theory. 12:3-21
We characterize orbifolds in terms of their sheaves, and show that orbifolds correspond exactly to a specific class of smooth groupoids. As an application, we construct fibered products of orbifolds and prove a change-of-base formula for sheaf cohomo
Autor:
Dorette Pronk, Ieke Moerdijk
For any orbifold M , we explicitly construct a simplicial complex S( M ) from a given triangulation of the ‘coarse’ underlying space together with the local isotropy groups of M . We prove that, for any local system on M , this complex S( M ) has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::459708563f42acfc8d06dd7797a9476b
https://eprints.whiterose.ac.uk/122084/1/9708021v1.pdf
https://eprints.whiterose.ac.uk/122084/1/9708021v1.pdf