Journal: Letters in Mathematical Physics

Abbreviation

Lett Math Phys

Publisher

Springer

Journal Volumes

ISSN

0377-9017
1573-0530

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Publications 1 - 10 of 40
  • Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
    Item type: Journal Article
    Cattaneo, Alberto S.; Felder, Giovanni (2004)
    Letters in Mathematical Physics
  • A Variant of the Mukai Pairing via Deformation Quantization
    Item type: Journal Article
    Ramadoss, Ajay C. (2012)
    Letters in Mathematical Physics
  • On a homotopy version of the Duflo isomorphism
    Item type: Journal Article
    Felder, Matteo (2020)
    Letters in Mathematical Physics
    For a finite-dimensional Lie algebra g, the Duflo map Sg→Ug defines an isomorphism of g-modules. On g-invariant elements, it gives an isomorphism of algebras. Moreover, it induces an isomorphism of algebras on the level of Lie algebra cohomology H(g,Sg)→H(g,Ug). However, as shown by J. Alm and S. Merkulov, it cannot be extended in a universal way to an A∞-isomorphism between the corresponding Chevalley–Eilenberg complexes. In this paper, we give an elementary and self-contained proof of this fact using a version of M. Kontsevich’s graph complex.
  • Equivalence of the Open KdV and the Open Virasoro Equations for the Moduli Space of Riemann Surfaces with Boundary
    Item type: Journal Article
    Buryak, Alexandr (2015)
    Letters in Mathematical Physics
    In a recent paper, Pandharipande, Solomon and Tessler initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. The authors conjectured KdV and Virasoro type equations that completely determine all intersection numbers. In this paper, we study these equations in detail. In particular, we prove that the KdV and the Virasoro type equations for the intersection numbers on the moduli space of Riemann surfaces with boundary are equivalent.
  • The linearized Einstein equations with sources
    Item type: Journal Article
    Hintz, Peter (2024)
    Letters in Mathematical Physics
    On vacuum spacetimes of general dimension, we study the linearized Einstein vacuum equations with a spatially compactly supported and (necessarily) divergence-free source. We prove that the vanishing of appropriate charges of the source, defined in terms of Killing vector fields on the spacetime, is necessary and sufficient for solvability within the class of spatially compactly supported metric perturbations. The proof combines classical results by Moncrief with the solvability theory of the linearized constraint equations with control on supports developed by Corvino–Schoen and Chruściel–Delay.
  • A remark on the estimate of a determinant by Minami
    Item type: Journal Article
    Graf, Gian Michele; Vaghi, Alessio (2007)
    Letters in Mathematical Physics
  • Internally connected graphs and the Kashiwara-Vergne Lie algebra
    Item type: Journal Article
    Felder, Matteo (2018)
    Letters in Mathematical Physics
  • Review of AdS/CFT Integrability, Chapter VI.1
    Item type: Journal Article
    Beisert, Niklas (2012)
    Letters in Mathematical Physics
  • Topological Manin pairs and (n, s) -type series
    Item type: Journal Article
    Abedin, Raschid; Maximov, Stepan; Stolin, Alexander (2023)
    Letters in Mathematical Physics
    Lie subalgebras of L=g((x))×g[x]/xng[x] , complementary to the diagonal embedding Δ of g[[x]] and Lagrangian with respect to some particular form, are in bijection with formal classical r-matrices and topological Lie bialgebra structures on the Lie algebra of formal power series g[[x]] . In this work we consider arbitrary subspaces of L complementary to Δ and associate them with so-called series of type (n, s). We prove that Lagrangian subspaces are in bijection with skew-symmetric (n, s) -type series and topological quasi-Lie bialgebra structures on g[[x]] . Using the classificaiton of Manin pairs we classify up to twisting and coordinate transformations all quasi-Lie bialgebra structures. Series of type (n, s) , solving the generalized classical Yang-Baxter equation, correspond to subalgebras of L. We discuss their possible utility in the theory of integrable systems.
  • Gauge-theoretic invariants for topological insulators: a bridge between Berry, Wess–Zumino, and Fu–Kane–Mele
    Item type: Journal Article
    Monaco, Domenico; Tauber, Clément (2017)
    Letters in Mathematical Physics
Publications 1 - 10 of 40