Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Daniel Grady"'
Publikováno v:
PLoS ONE, Vol 8, Iss 8, p e69829 (2013)
Large-scale disasters that interfere with globalized socio-technical infrastructure, such as mobility and transportation networks, trigger high socio-economic costs. Although the origin of such events is often geographically confined, their impact re
Externí odkaz:
https://doaj.org/article/f2d55861ee9949aea7b6a7d33962a343
Publikováno v:
PLoS ONE, Vol 5, Iss 11, p e15422 (2010)
Territorial subdivisions and geographic borders are essential for understanding phenomena in sociology, political science, history, and economics. They influence the interregional flow of information and cross-border trade and affect the diffusion of
Externí odkaz:
https://doaj.org/article/a206cf4730344016be83a206cbdacdfb
Autor:
Daniel Grady, Hisham Sati
Publikováno v:
Advances in Theoretical and Mathematical Physics. 26:1097-1155
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8648562c5686124a20740119f5e2f2ad
https://doi.org/10.4310/atmp.2022.v26.n5.a2
https://doi.org/10.4310/atmp.2022.v26.n5.a2
Autor:
Hisham Sati, Daniel Grady
Publikováno v:
Algebr. Geom. Topol. 19, no. 6 (2019), 2899-2960
We construct the Atiyah-Hirzebruch spectral sequence (AHSS) for twisted differential generalized cohomology theories. This generalizes to the twisted setting the authors' corresponding earlier construction for differential cohomology theories, as wel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0574fc2c7bb81661aadc2068bf5edf8a
https://doi.org/10.2140/agt.2019.19.2899
https://doi.org/10.2140/agt.2019.19.2899
Autor:
Hisham Sati, Daniel Grady
Publikováno v:
Homology, Homotopy and Applications. 21:129-159
Degree one twisting of Deligne cohomology, as a differential refinement of integral cohomology, was established in previous work. Here we consider higher degree twists. The Rham complex, hence de Rham cohomology, admits twists of any odd degree. Howe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::342908e051aa5486f005cebd89de4ff5
https://doi.org/10.4310/hha.2019.v21.n1.a7
https://doi.org/10.4310/hha.2019.v21.n1.a7
Autor:
Hisham Sati, Daniel Grady
Publikováno v:
Advances in Mathematics. 335:519-562
We characterize primary operations in differential cohomology via stacks, and illustrate by differentially refining Steenrod squares and Steenrod powers explicitly. This requires a delicate interplay between integral, rational, and mod p cohomology,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57f0111b2a38030b7ed9fc349f816c72
https://doi.org/10.1016/j.aim.2018.07.019
https://doi.org/10.1016/j.aim.2018.07.019
Autor:
Hisham Sati, Daniel Grady
Publikováno v:
Journal of Geometry and Physics. 165:104203
We compare the description of the M-theory form fields via cohomotopy versus that via integral cohomology. The conditions for lifting the latter to the former are identified using obstruction theory in the form of Postnikov towers, where torsion play
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdfa064d9a1c983e25045ff2deae0259
https://doi.org/10.1016/j.geomphys.2021.104203
https://doi.org/10.1016/j.geomphys.2021.104203
Autor:
Hisham Sati, Daniel Grady
Publikováno v:
Advances in Mathematics. 384:107671
We provide several constructions in differential KO-theory. First, we construct a differential refinement of the $\hat{A}$-genus and a pushforward leading to a Riemann-Roch theorem. We set up a differential refinement of the Atiyah-Hirzebruch spectra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30b36ba1a5a6462ee98686a9f429a959
https://doi.org/10.1016/j.aim.2021.107671
https://doi.org/10.1016/j.aim.2021.107671
Autor:
Daniel Grady, Hisham Sati
Deligne cohomology can be viewed as a differential refinement of integral cohomology, hence captures both topological and geometric information. On the other hand, it can be viewed as the simplest nontrivial version of a differential cohomology theor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee153cc8bfc574cef7dcd0973783f0fa
http://arxiv.org/abs/1706.02742
http://arxiv.org/abs/1706.02742
Autor:
Daniel Grady, Hisham Sati
Publikováno v:
Algebr. Geom. Topol. 17, no. 4 (2017), 2357-2412
We consider spectral sequences in smooth generalized cohomology theories, including differential generalized cohomology theories. The main differential spectral sequences will be of the Atiyah-Hirzebruch (AHSS) type, where we provide a filtration by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21fbcdad1e623d367befc223f8bc3b3d