A vanishing result for the \(\mathrm{Spin}^{c}\) Dirac operator defined along the leaves of a foliation
From MaRDI portal
Publication:691071
DOI10.1007/s10711-012-9704-6zbMath1276.53033OpenAlexW2058999013MaRDI QIDQ691071
Publication date: 29 November 2012
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-012-9704-6
Vanishing theorems in algebraic geometry (14F17) Foliations (differential geometric aspects) (53C12) Vector distributions (subbundles of the tangent bundles) (58A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric connections and geometric Dirac operators on contact manifolds
- The spin\(^{\mathbf c}\) Dirac operator on high tensor powers of a line bundle
- A Lefschetz theorem for foliated manifolds
- Vanishing theorem for transverse Dirac operators on Riemannian foliations
- Weitzenböck formulas for Riemannian foliations
- The longitudinal index theorem for foliations
- De Rham-Hodge theory for Riemannian foliations
- Transversal Dirac families in Riemannian foliations
- Adiabatic limits and spectral sequences for Riemannian foliations
- Index formulas for geometric Dirac operators in Riemannian foliations
- Natural equivariant transversally elliptic Dirac operators
- Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry
- The fundamental equations of a submersion
- Foliated manifolds with bundle-like metrics
- Finite propagation speed and Connes' foliation algebra
- Corrigenda to: Introduction to Symplectic Topology
- Spinor structures and nonlinear connections in vector bundles, generalized Lagrange and Finsler spaces
- The basic Laplacian of a Riemannian foliation
- The first eigenvalue of the transversal Dirac operator
This page was built for publication: A vanishing result for the \(\mathrm{Spin}^{c}\) Dirac operator defined along the leaves of a foliation
