Results 1 to 10 of about 61,144 (126)

The triangulation of manifolds [PDF]

, 2013
A mostly expository account of old questions about the relationship between polyhedra and topological manifolds. Topics are old topological results, new gauge theory results (with speculations about next directions), and history of the questions.Comment:
Quinn, Frank
core  

Super-A-polynomials for Twist Knots

, 2012
We conjecture formulae of the colored superpolynomials for a class of twist knots $K_p$ where p denotes the number of full twists. The validity of the formulae is checked by applying differentials and taking special limits. Using the formulae, we compute
A Iqbal, A Iqbal, AN Kirillov, B Cooper, E Witten, E Witten, E Witten, G Masbaum, GE Andrews, H Awata, H Awata, H Fuji, H Itoyama, H Murakami, H Ooguri, I Frenkel, J Alexander, J Hoste, J Labastida, JH Przytycki, K Habiro, K Habiro, K Hikami, LH Kauffman, M Khovanov, M Khovanov, M Khovanov, M Mackaay, N Reshetikhin, NA Nekrasov, NM Dunfield, P Fréyd, P Rama Devi, P Ramadevi, P Ramadevi, P. Ramadevi, R Gopakumar, R Kashaev, R Kirby, R Lawrence, RK Kaul, S Garoufalidis, S Garoufalidis, S Garoufalidis, S Garoufalidis, S Gukov, S Gukov, S Gukov, S Gukov, Satoshi Nawata, V Jones, WBR Lickorish, WD Neumann, Xinyu Sun, Zodinmawia,   +54 more
core   +1 more source

Index theory of the de Rham complex on manifolds with periodic ends

, 2013
We study the de Rham complex on a smooth manifold with a periodic end modeled on an infinite cyclic cover X' \to X. The completion of this complex in exponentially weighted L^2-norms is Fredholm for all but finitely many exceptional weights determined by
Mrowka, Tomasz, Ruberman, Daniel, Saveliev, Nikolai   +2 more
core   +1 more source

New directions in Nielsen-Reidemeister theory [PDF]

, 2008
The purpose of this expository paper is to present new directions in the classical Nielsen-Reidemeister fixed point theory. We describe twisted Burnside-Frobenius theorem, groups with $R_\infty$ \emph{property} and a connection between Nielsen fixed ...
Fel'shtyn, Alexander
core  

Homotopy pro-nilpotent structured ring spectra and topological Quillen localization

, 2019
The aim of this short paper is to show that the homotopy limit of any diagram of nilpotent structured ring spectra is TQ-local, where structured ring spectra are described as algebras over a spectral operad O; in particular, every homotopy pro-nilpotent ...
Zhang, Yu
core  

On the cohomology of linear groups over imaginary quadratic fields

, 2013
Let Gamma be the group GL_N (OO_D), where OO_D is the ring of integers in the imaginary quadratic field with discriminant D= -24 when N=3, and D=-3,-4 when N=4.
Gangl, Herbert, Gunnells, Paul E., Hanke, Jonathan, Schuermann, Achill, Sikiric, Mathieu Dutour, Yasaki, Dan   +5 more
core  

A conjecture of Warnaar-Zudilin from deformations of lie superalgebras. [PDF]

Res Math Sci
Creutzig T, Garner N.
europepmc   +1 more source

CAP: Commutative algebra prediction of protein-nucleic acid binding affinities. [PDF]

Mach Learn Sci Technol
Zia M, Suwayyid F, Hozumi Y, Wee J, Feng H, Wei GW.   +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

The topology of synergy: Linking topological and information-theoretic approaches to higher-order interactions in complex systems. [PDF]

PLoS Comput Biol
Varley TF, Mediano PAM, Patania A, Bongard J.   +3 more
europepmc   +1 more source