Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Grady, Daniel"'
Autor:
Grady, Daniel
We prove a conjecture of Freed and Hopkins, which relates deformation classes of reflection positive, invertible, $d$-dimensional extended field theories with fixed symmetry type to a certain generalized cohomology of a Thom spectrum. Along the way,
Externí odkaz:
http://arxiv.org/abs/2310.15866
Autor:
Grady, Daniel, Pavlov, Dmitri
We prove a generalization of the cobordism hypothesis of Baez--Dolan and Hopkins--Lurie for bordisms with arbitrary geometric structures, such as Riemannian metrics, complex and symplectic structures, principal bundles with connections, or geometric
Externí odkaz:
http://arxiv.org/abs/2111.01095
Autor:
Grady, Daniel, Pavlov, Dmitri
We show that all extended functorial field theories, both topological and nontopological, are local. We define the smooth (infinity,d)-category of bordisms with geometric data, such as Riemannian metrics or geometric string structures, and prove that
Externí odkaz:
http://arxiv.org/abs/2011.01208
Autor:
Grady, Daniel, Sati, Hisham
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:
http://arxiv.org/abs/2001.07640
Autor:
Grady, Daniel, Sati, Hisham
We provide a systematic approach to twisting differential KO-theory leading to a construction of the corresponding twisted differential Atiyah-Hirzebruch spectral sequence (AHSS). We relate and contrast the degree two and the degree one twists, whose
Externí odkaz:
http://arxiv.org/abs/1905.09085
Autor:
Grady, Daniel, Sati, Hisham
Publikováno v:
Adv. Theor. Math. Phys. 26 (2022) ,1097-1155
We provide a systematic approach to describing the Ramond-Ramond (RR) fields as elements in twisted differential K-theory. This builds on a series of constructions by the authors on geometric and computational aspects of twisted differential K-theory
Externí odkaz:
http://arxiv.org/abs/1903.08843
Autor:
Grady, Daniel J.
This integrative research review aims to examine the application of Kolb’s theory of experiential learning through the use of simulations within virtual learning environments. It will first cover the framework of experiential learning as stated by
Externí odkaz:
http://pqdtopen.proquest.com/#viewpdf?dispub=10282034
Autor:
Grady, Daniel
We introduce an equivariant Pontrjagin-Thom construction which identifies equivariant cohomotopy classes with certain fixed point bordism classes. This provides a concrete geometric model for equivariant cohomotopy which works for any compact Lie gro
Externí odkaz:
http://arxiv.org/abs/1811.08794
Autor:
Grady, Daniel, Sati, Hisham
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:
http://arxiv.org/abs/1809.07059
Autor:
Grady, Daniel, Sati, Hisham
Publikováno v:
Homology, Homotopy and Appl. 21 (2019) 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:
http://arxiv.org/abs/1712.05971