Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Fredy Díaz García"'
Publikováno v:
Communications in Mathematical Physics. 395:365-403
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4dfee7e7fe73b91f4d22d55abbee7633
https://doi.org/10.1007/s00220-022-04435-5
https://doi.org/10.1007/s00220-022-04435-5
Publikováno v:
Letters in Mathematical Physics. 112
Noncommutative K\"ahler structures were recently introduced by the second author as a framework for studying noncommutative K\"ahler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a positive vector bundle dire
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc69403ffd6eab3b38dc119258d8fe98
https://doi.org/10.1007/s11005-022-01619-x
https://doi.org/10.1007/s11005-022-01619-x
Publikováno v:
International Mathematics Research Notices.
We establish a noncommutative generalisation of the Borel–Weil theorem for the Heckenberger–Kolb calculi of the irreducible quantum flag manifolds ${\mathcal {O}}_q(G/L_S)$, generalising previous work for the quantum Grassmannians ${\mathcal {O}}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98d7b7a96b777689b0ed1fccc82a0e1d
https://doi.org/10.1093/imrn/rnac193
https://doi.org/10.1093/imrn/rnac193
Publikováno v:
Letters in Mathematical Physics. 111
The publication of this article unfortunately contained a mistake. A grant number in the acknowledgements was not correct, instead of GACR 306 − 33/1906357 it should be GA19-06357S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e48a1358877fddf724d925443eb46788
https://doi.org/10.1007/s11005-021-01363-8
https://doi.org/10.1007/s11005-021-01363-8
We construct covariant $q$-deformed holomorphic structures for all finitely-generated relative Hopf modules over the irreducible quantum flag manifolds endowed with their Heckenberger--Kolb calculi. In the classical limit these reduce to modules of s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79b0dc45e498da12dd5fb9255588d0e1
http://arxiv.org/abs/2005.09652
http://arxiv.org/abs/2005.09652
Autor:
Fredy Díaz García, Elmar Wagner
A Dirac operator is presented that will yield a 1+ summable regular even spectral triple for all noncommutative compact surfaces defined as subalgebras of the Toeplitz algebra. Connes' conditions for noncommutative spin geometries are analyzed and it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e62cb70b1e02318b505affd67e7a2a7
http://arxiv.org/abs/2002.10624
http://arxiv.org/abs/2002.10624
Autor:
Elmar Wagner, Fredy Díaz García
Publikováno v:
Trends in Mathematics ISBN: 9783030011550
Geometric Methods in Physics XXXVI-Workshop and Summer School, Białowieża, Poland, 2017
Trends in Mathematics
Trends in Mathematics-Geometric Methods in Physics XXXVI
Geometric Methods in Physics XXXVI-Workshop and Summer School, Białowieża, Poland, 2017
Trends in Mathematics
Trends in Mathematics-Geometric Methods in Physics XXXVI
We construct a 1+ summable regular even spectral triple for a noncommutative torus defined by a C*-subalgebra of the Toeplitz algebra.
to appear in Trends in Mathematics, Birkh\"auser
to appear in Trends in Mathematics, Birkh\"auser
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1690587812a9477408a77764343c210d
http://arxiv.org/abs/1802.06124
http://arxiv.org/abs/1802.06124