Topological classification of crystalline insulators through band structure combinatorics
We present a method for efficiently enumerating all allowed, topologically distinct, electronic
band structures within a given crystal structure in all physically relevant dimensions. The …
band structures within a given crystal structure in all physically relevant dimensions. The …
Topological crystalline materials: General formulation, module structure, and wallpaper groups
We formulate topological crystalline materials on the basis of the twisted equivariant K
theory. Basic ideas of the twisted equivariant K theory are explained with application to …
theory. Basic ideas of the twisted equivariant K theory are explained with application to …
Survey on classifying spaces for families of subgroups
W Lück - Infinite groups: geometric, combinatorial and dynamical …, 2005 - Springer
We define for a topological group G and a family of subgroups F two versions for the
classifying space for the family F, the G-CW-version E_ F (G) and the numerable G-space …
classifying space for the family F, the G-CW-version E_ F (G) and the numerable G-space …
The Baum-Connes and the Farrell-Jones conjectures in K-and L-theory
W Lück, H Reich - arXiv preprint math/0402405, 2004 - arxiv.org
arXiv:math/0402405v1 [math.KT] 25 Feb 2004 Page 1 arXiv:math/0402405v1 [math.KT] 25
Feb 2004 The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory Wolfgang …
Feb 2004 The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory Wolfgang …
[图书][B] Four-manifolds, geometries and knots
JA Hillman - 2002 - msp.org
Every closed surface admits a geometry of constant curvature, and may be classified
topologically either by its fundamental group or by its Euler characteristic and orientation …
topologically either by its fundamental group or by its Euler characteristic and orientation …
Converging periodic boundary conditions and detection of topological gaps on regular hyperbolic tessellations
FR Lux, E Prodan - Physical Review Letters, 2023 - APS
Tessellations of the hyperbolic spaces by regular polygons support discrete quantum and
classical models with unique spectral and topological characteristics. Resolving the true …
classical models with unique spectral and topological characteristics. Resolving the true …
The Novikov conjecture for linear groups
E Guentner, N Higson, S Weinberger - Publications mathématiques de l' …, 2005 - Springer
Let K be a field. We show that every countable subgroup of GL (n, K) is uniformly
embeddable in a Hilbert space. This implies that Novikov's higher signature conjecture …
embeddable in a Hilbert space. This implies that Novikov's higher signature conjecture …
A basic introduction to surgery theory
W Lück - 2002 - inis.iaea.org
[en] This manuscript contains extended notes of the lectures presented by the author at the
summer school'High-dimensional Manifold Theory'in Trieste in May/June 2001. It is written …
summer school'High-dimensional Manifold Theory'in Trieste in May/June 2001. It is written …
Chern characters for proper equivariant homology theories and applications to K- and L-theory
W Lück - 2002 - degruyter.com
We construct for an equivariant homology theory for proper equivariant CW-complexes an
equivariant Chern character, provided that certain conditions are satis® ed. This applies for …
equivariant Chern character, provided that certain conditions are satis® ed. This applies for …
[HTML][HTML] On the isomorphism conjecture in algebraic K-theory
A Bartels, T Farrell, L Jones, H Reich - Topology, 2004 - Elsevier
The Isomorphism Conjecture is a conceptional approach towards a calculation of the
algebraic K-theory of a group ring RΓ, where Γ is an infinite group. In this paper we prove the …
algebraic K-theory of a group ring RΓ, where Γ is an infinite group. In this paper we prove the …