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Strong approximation methods in group theory, an LMS/EPSRC Short course lecture notes

, 2008
These are the lecture notes for the LMS/EPSRC short course on strong approximation methods in linear groups organized by Dan Segal in Oxford in September 2007.Comment: v4: Corollary 6.2 corrected, added a few small ...
Nikolov, Nikolay
core  

Geometry and categorification

, 2016
We describe a number of geometric contexts where categorification appears naturally: coherent sheaves, constructible sheaves and sheaves of modules over quantizations.
Webster, Ben
core  

Revealing the topological nature of entangled orbital angular momentum states of light. [PDF]

Nat Commun
de Mello Koch R, Ornelas P, Gounden N, Lu BQ, Nape I, Forbes A.   +5 more
europepmc   +1 more source

Experimental observation of energy-band Riemann surface. [PDF]

Sci Adv
Cheng D, Wang H, Zhong J, Lustig E, Roques-Carmes C, Fan S.   +5 more
europepmc   +1 more source

Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

Artif Intell Rev
Su Z, Liu X, Hamdan LB, Maroulas V, Wu J, Carlsson G, Wei GW, Wei GW.   +7 more
europepmc   +1 more source

Optimal Complexity of Parameterized Quantum Circuits. [PDF]

Entropy (Basel)
Correr GI, Azado PC, Soares-Pinto DO, Carlo GG.   +3 more
europepmc   +1 more source

Topologically enhanced exciton transport. [PDF]

Nat Commun
Thompson JJP, Jankowski WJ, Slager RJ, Monserrat B.   +3 more
europepmc   +1 more source

Commutative Algebra Modeling in Materials Science - A Case Study on Metal-Organic Frameworks (MOFs). [PDF]

J Chem Inf Model
Khaemba CS, Feng H, Chen D, Chen CL, Wei GW, Wei GW.   +5 more
europepmc   +1 more source

Morse Theory for the <i>k</i>-NN Distance Function. [PDF]

Discrete Comput Geom
Reani Y, Bobrowski O.
europepmc   +1 more source

Folding and unfolding: A topological framework for understanding intangible cultural heritage tourism in urban villages - The case of chebei dragon boat scenery, Guangzhou, China. [PDF]

PLoS One
Tang X, Li S.
europepmc   +1 more source