Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Tom Coates"'
Publikováno v:
Nature Communications, Vol 14, Iss 1, Pp 1-11 (2023)
Abstract Fano varieties are basic building blocks in geometry – they are ‘atomic pieces’ of mathematical shapes. Recent progress in the classification of Fano varieties involves analysing an invariant called the quantum period. This is a sequen
Externí odkaz:
https://doaj.org/article/3c543bee55db4136bbfddf841a49ef47
Publikováno v:
Forum of Mathematics, Pi, Vol 12 (2024)
We show that the Virasoro conjecture in Gromov–Witten theory holds for the the total space of a toric bundle $E \to B$ if and only if it holds for the base B. The main steps are: (i) We establish a localization formula that expresses Gromov–Wi
Externí odkaz:
https://doaj.org/article/75ab031f615a4fe5ac2b5a547adec491
Autor:
Tom Coates, Alexander M. Kasprzyk
Publikováno v:
Scientific Data, Vol 9, Iss 1, Pp 1-8 (2022)
Measurement(s) Regularized quantum period Technology Type(s) Computational algebra system • Mathematics
Externí odkaz:
https://doaj.org/article/34ef97f3903948b68586829186ae828b
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 094 (2012)
Given a Laurent polynomial f, one can form the period of f: this is a function of one complex variable that plays an important role in mirror symmetry for Fano manifolds. Mutations are a particular class of birational transformations acting on Lauren
Externí odkaz:
https://doaj.org/article/575c27f46e724f4ab17fa6bf5b9ca973
Autor:
Steve Webb, Parveta Rengarajoo, Michael C. Reade, Sharon Waterson, Manoj Saxena, Jamie Cooper, Piers Thomas, Simon Finfer, Dinesh Varma, Tom Coates, Dashiell Gantner, Belinda J. Gabbe, Peter Bragge
Publikováno v:
Journal of Neurotrauma. 37:2686-2693
Clinical trials have shown that intravenous albumin and decompressive craniectomy to treat early refractory intracranial hypertension can cause harm in patients with severe traumatic brain injury (TBI). The extent to which these treatments remain in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc059cdd4e07d141a4c1ffdf67f303f6
https://doi.org/10.1089/neu.2020.7152
https://doi.org/10.1089/neu.2020.7152
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030983260
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9850ea9d6a362a437a6586c7d13612b1
https://doi.org/10.1007/978-3-030-98327-7_6
https://doi.org/10.1007/978-3-030-98327-7_6
Publikováno v:
Forum of Mathematics, Sigma
The most fundamental example of mirror symmetry compares the Fermat hypersurfaces in P^n and P^n/G, where G is a finite group that acts on P^n and preserves the Fermat hypersurface. We generalise this to hypersurfaces in Grassmannians, where the pict
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a31e43fd57d713f7af2d6a7bc40e9c22
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 477
We introduce a class of Laurent polynomials, called maximally mutable Laurent polynomials (MMLPs), that we believe correspond under mirror symmetry to Fano varieties. A subclass of these, called rigid, are expected to correspond to Fano varieties wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8253ecf0b145531d5d8c296b62bfb27
https://doi.org/10.1098/rspa.2021.0584
https://doi.org/10.1098/rspa.2021.0584
Publikováno v:
Journal of Differential Geometry
J. Differential Geom. 114, no. 1 (2020), 41-115
J. Differential Geom. 114, no. 1 (2020), 41-115
Using the mirror theorem [CCIT15], we give a Landau-Ginzburg mirror description for the big equivariant quantum cohomology of toric Deligne-Mumford stacks. More precisely, we prove that the big equivariant quantum D-module of a toric Deligne-Mumford
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c2a5b1e2444ac19763655d0bcdb8300
Autor:
Tom Coates, Hiroshi Iritani
Publikováno v:
Kyoto J. Math. 58, no. 4 (2018), 695-864
We give a global, intrinsic, and co-ordinate-free quantization formalism for Gromov-Witten invariants and their B-model counterparts, which simultaneously generalizes the quantization formalisms described by Witten, Givental, and Aganagic-Bouchard-Kl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fde8c9675dc253cd0cbd5887d2fb27a
https://projecteuclid.org/euclid.kjm/1532656825
https://projecteuclid.org/euclid.kjm/1532656825