Results 21 to 30 of about 197,645 (46)

Elements of Mathematics - General Topology, by Nicolas Bourbaki. Hermann, Paris, and Addison-Wesley, Reading, 1967. Part 1, vii + 438 pages. $18.50. Part 2, iv + 368 pages. $18.50. [PDF]

, 1968
J. Troué
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Topological indices in condensed matter [PDF]

arXiv
This contribution describes the mathematical theory of topological indices in solid state systems composed of non-interacting Fermions. In particular, this covers the spectral localizer and the bulk-boundary correspondence.
arxiv  

Nontopological Methods for Determining Topological Charge for Bosons and Fermions in Flat Spacetime [PDF]

arXiv, 2001
An alternative method to the topological instanton solution for deriving an expression for the topological charge is presented. This alternative method involves the use of relativistic quantum field theory and covariant electrodynamics. In the case of bosons, this method is consistent with the instanton solution in predicting that topological charge is
arxiv  

Topological Quantum Computation with Gapped Boundaries and Boundary Defects [PDF]

arXiv, 2017
We survey some recent work on topological quantum computation with gapped boundaries and boundary defects and list some open problems.
arxiv  

Algebraic topology and modular forms [PDF]

Proceedings of the ICM, Beijing 2002, vol. 1, 283--309, 2002
Modular forms appear in many facets of mathematics, and have played important roles in geometry, mathematical physics, number theory, representation theory, topology, and other areas. Around 1994, motivated by technical issues in homotopy theory, Mark Mahowald, Haynes Miller and I constructed a topological refinement of modular forms, which we call ...
arxiv  

Topological partial *-algebras: Basic properties and examples [PDF]

Rev. Math. Phys, {\bf 11}, 267-302, (1999), 2009
Let $A$ be a partial *-algebra endowed with a topology $\tau$ that makes it into a locally convex topological vector space $A[\tau]$. Then $A$ is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to require that the topology $\tau$ fits with the multiplier structure of $A$ Besides the obvious cases of ...
arxiv  

Nonperturbative refined topological string [PDF]

arXiv
A formula for the full nonperturbative topological string free energy was recently proposed by Hattab and Palti \cite{HP24a}. In this work, we extend their result to the refined topological string theory. We demonstrate that the proposed formula for the full nonperturbative refined topological string free energy correctly reproduces the trans-series ...
arxiv  

Concepts of general topology in constructive mathematics and in sheaves

, 1981
R.J. Grayson
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A correction to “concepts of general topology in constructive mathematics and in sheaves”

, 1982
R.J. Grayson
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Topological Elliptic Genera I -- The mathematical foundation [PDF]

arXiv
We construct {\it Topological Elliptic Genera}, homotopy-theoretic refinements of the elliptic genera for $SU$-manifolds and variants including the Witten-Landweber-Ochanine genus. The codomains are genuinely $G$-equivariant Topological Modular Forms developed by Gepner-Meier, twisted by $G$-representations.
arxiv