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Topological Invariants of Bifurcation [PDF]
, 2008 I will shortly discuss an approach to bifurcation theory based on elliptic topology. The main goal is a construction of an index of bifurcation points for C 1-families of Fredholm maps derived from the index bundle of the family of linearizations along the trivial branch.
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, 2015 Topological phase transitions in free fermion systems can be characterized by closing of single-particle gap and change in topological invariants. However, in the presence of electronic interactions, topological phase transitions are more complicated. In
He, Yuan-Yao +3 more
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Advanced Engineering Materials, EarlyView.In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
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Topological invariant quintessence [PDF]
Modern Physics Letters A, 2015 The issues of quintessence and cosmic acceleration can be discussed in the framework of [Formula: see text] theories of gravity where R is the Ricci curvature scalar and [Formula: see text] is the Gauss–Bonnet topological invariant. It is possible to show that such an approach exhausts all the curvature content related to the Riemann tensor giving ...
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Quantum supergroups and topological invariants of three - manifolds
, 1994 The Reshetikhin - Turaeve approach to topological invariants of three - manifolds is generalized to quantum supergroups. A general method for constructing three - manifold invariants is developed, which requires only the study of the eigenvalues of ...
Zhang, R. B.
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Advanced Functional Materials, EarlyView.A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian +6 more
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Topological invariant for holographic Weyl-Nodal line coexisting semimetal
Journal of High Energy PhysicsThe presence of a topological phase in a topological many-body system can be distinguished through the analysis of topological invariants. In the present study, the topological invariants for the strongly coupled holographic semimetals have been ...
Xiantong Chen, Xuanting Ji, Ya-Wen Sun
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Gapless Topological Phases and Symmetry-Enriched Quantum Criticality
Physical Review X, 2021 We introduce topological invariants for gapless systems and study the associated boundary phenomena. More generally, the symmetry properties of the low-energy conformal field theory (CFT) provide discrete invariants establishing the notion of symmetry ...
Ruben Verresen +3 more
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Equivalent topological invariants of topological insulators
, 2012 A time-reversal invariant topological insulator can be generally defined by the effective topological field theory with a quantized \theta coefficient, which can only take values of 0 or \pi.
Dubrovin B A +3 more
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BPS invariants of semi-stable sheaves on rational surfaces [PDF]
, 2013 BPS invariants are computed, capturing topological invariants of moduli spaces of semi-stable sheaves on rational surfaces. For a suitable stability condition, it is proposed that the generating function of BPS invariants of a Hirzebruch surface takes ...
Manschot, Jan
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