Results 91 to 100 of about 476,467 (270)

Locally constant fibrations and positivity of curvature

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1005-1025, April 2025.
Abstract Up to finite étale cover, any smooth complex projective variety X$X$ with nef anti‐canonical bundle is a holomorphic fibre bundle over a smooth projective variety with trivial canonical class (K‐trivial variety for short) with locally constant transition functions. We show that this result is optimal by proving that any projective fibre bundle
Niklas Müller
wiley   +1 more source

A note on topological invariants in condensed matter [PDF]

arXiv, 2014
We discuss some aspects of topological invariants that classify topological states of matter with emphasis on topological insulators. The main aspect addressed is if there are only two topological phases to Bloch Hamiltonian that are time reversal invariant or if there are more phases that has different topological invariants. From a mathematical point
arxiv  

Topology, Geometry, Integrable Systems, and Mathematical Physics

, 2014
References ...
F Pempinelli, Pogrebkov Andrei, M Boiti
openaire   +7 more sources

The homological spectrum via definable subcategories

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1040-1064, April 2025.
Abstract We develop an alternative approach to the homological spectrum of a tensor‐triangulated category through the lens of definable subcategories. This culminates in a proof that the homological spectrum is homeomorphic to a quotient of the Ziegler spectrum.
Isaac Bird, Jordan Williamson
wiley   +1 more source

Butterflies and topological quantum numbers [PDF]

arXiv, 2001
The Hofstadter model illustrates the notion of topological quantum numbers and how they account for the quantization of the Hall conductance. It gives rise to colorful fractal diagrams of butterflies where the colors represent the topological quantum numbers.
arxiv  

A comparison of Hochschild homology in algebraic and smooth settings

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.
Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley   +1 more source

Topological quantum numbers in the Hall effect [PDF]

arXiv, 2003
Topological quantum numbers account for the precise quantization that occurs in the integer Hall effect. In this theory, Kubo's formula for the conductance acquires a topological interpretation in terms of Chern numbers and their non-commutative analog, the Fredholm Indices.
arxiv  

Continuity argument revisited: geometry of root clustering via symmetric products

, 2016
We study the spaces of polynomials stratified into the sets of polynomial with fixed number of roots inside certain semialgebraic region $\Omega$, on its border, and at the complement to its closure.
Violet, Grey
core  

A higher dimensional version of Fáry's theorem

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1409-1414, May 2025.
Abstract We prove a generalization of István Fáry's celebrated theorem to higher dimensions. Namely, we show that if a finite simplicial complex X$X$ can be piecewise linearly embedded into a d$d$‐dimensional PL manifold M$M$, then there is a triangulation of M$M$ containing X$X$ as a subcomplex.
Karim Adiprasito, Zuzana Patáková
wiley   +1 more source

Comment on the paper "Does Zeeman's Fine Topology Exist?" at arXiv:1003.3703v1 [PDF]

arXiv, 2011
A constructive and straightforward proof of the existence of the Zeeman topology is provided, contradicting a fallacious claim contained in the paper "Does Zeeman's Fine Topology Exist?" available at arXiv:1003.3703v1.
arxiv