Results 51 to 60 of about 210 (155)

Simple closed curves, non‐kernel homology and Magnus embedding

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley   +1 more source

3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator

Journal of High Energy Physics
In this paper, we compute the partition functions of N $$ \mathcal{N} $$ = 1 SUGRA for different boundary topologies, i.e. punctured sphere and torus, using super-Virasoro TQFT.
Arpan Bhattacharyya, Saptaswa Ghosh, Poulami Nandi, Sounak Pal   +3 more
doaj   +1 more source

Multiplicative Expression for the Coefficient in Fermionic 3–3 Relation

Mathematics, 2016
Recently, a family of fermionic relations were discovered corresponding to Pachner move 3–3 and parameterized by complex-valued 2-cocycles, where the weight of a pentachoron (4-simplex) is a Grassmann–Gaussian exponent.
Igor Korepanov
doaj   +1 more source

Topological orders, braiding statistics, and mixture of two types of twisted BF theories in five dimensions

Journal of High Energy Physics, 2022
Topological orders are a prominent paradigm for describing quantum many-body systems without symmetry-breaking orders. We present a topological quantum field theoretical (TQFT) study on topological orders in five-dimensional spacetime (5D) in which ...
Zhi-Feng Zhang, Peng Ye
doaj   +1 more source

Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley   +1 more source

SUBFACTORS AND 1+1-DIMENSIONAL TQFTs [PDF]

International Journal of Mathematics, 2007
We construct a certain "cobordism category" [Formula: see text] whose morphisms are suitably decorated cobordism classes between similarly decorated closed oriented 1-manifolds, and show that there is essentially a bijection between (1+1-dimensional) unitary topological quantum field theories (TQFTs) defined on [Formula: see text], on the one hand, and
Kodiyalam, Vijay, Pati, Vishwambhar, Sunder, V. S.   +2 more
openaire   +2 more sources

Holographic Duals of Symmetry Broken Phases

Fortschritte der Physik, Volume 72, Issue 12, December 2024.
Abstract A novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity is explored by proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal effective field theory (EFT) that describes spontaneous symmetry breaking on the boundary.
Andrea Antinucci, Francesco Benini, Giovanni Rizi   +2 more
wiley   +1 more source

Free Fermi and Bose Fields in TQFT and GBF

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We present a rigorous and functorial quantization scheme for linear fermionic and bosonic field theory targeting the topological quantum field theory (TQFT) that is part of the general boundary formulation (GBF).
Robert Oeckl
doaj   +1 more source

Stabilization distance bounds from link Floer homology

Journal of Topology, Volume 17, Issue 2, June 2024.
Abstract We consider the set of connected surfaces in the 4‐ball with boundary a fixed knot in the 3‐sphere. We define the stabilization distance between two surfaces as the minimal g$g$ such that we can get from one to the other using stabilizations and destabilizations through surfaces of genus at most g$g$.
András Juhász, Ian Zemke
wiley   +1 more source

Unified invariant of knots from homological braid action on Verma modules

Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.
Abstract We re‐build the quantum sl(2)${\mathfrak {sl}(2)}$ unified invariant of knots F∞$F_{\infty }$ from braid groups' action on tensors of Verma modules. It is a two variables series having the particularity of interpolating both families of colored Jones polynomials and ADO polynomials, that is, semisimple and non‐semisimple invariants of knots ...
Jules Martel, Sonny Willetts
wiley   +1 more source