We consider Dirac operators on odd-dimensional compact spin manifolds which are twisted by a product bundle. We show that the space of connections on the twisting bundle which yield an invertible operator has infinitely many connected components if the untwisted Dirac operator is invertible and the dimension of the twisting bundle is sufficiently large
Abstract. Assume that the compact Riemannian spin manifold (Mn, g) admits a G-structure with charact...
Let (M, g) be a compact Riemannian spin manifold. The Atiyah- Singer index theorem yields a lower bo...
Let (M, g) be a compact Riemannian spin manifold. The Atiyah- Singer index theorem yields a lower bo...
We consider Dirac operators on odd-dimensional compact spin manifolds which are twisted by a product...
Let M be a closed spin manifold of dimension congruent to 3 modulo 4. We give a simple proof of the ...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
AbstractAssume that the compact Riemannian spin manifold (Mn,g) admits a G-structure with characteri...
We show that for a suitable class of 'Dirac-like' operators there holds a Gluing Theorem for connect...
Let W = S ⊗ E be a complex spinor bundle with vanishing first Chern class over a simply connected sp...
AbstractLet M be a compact spin manifold with a chosen spin structure. The Atiyah–Singer index theor...
We had previously defined in [10], the rho invariant ρspin(Y; ε;H; g) for the twisted Dirac operator...
Let W = S E be a complex spinor bundle with vanishing first Chern class over a simply connected ...
Let W = S E be a complex spinor bundle with vanishing first Chern class over a simply connected ...
AbstractAssume that the compact Riemannian spin manifold (Mn,g) admits a G-structure with characteri...
Abstract. Assume that the compact Riemannian spin manifold (Mn, g) admits a G-structure with charact...
Let (M, g) be a compact Riemannian spin manifold. The Atiyah- Singer index theorem yields a lower bo...
Let (M, g) be a compact Riemannian spin manifold. The Atiyah- Singer index theorem yields a lower bo...
We consider Dirac operators on odd-dimensional compact spin manifolds which are twisted by a product...
Let M be a closed spin manifold of dimension congruent to 3 modulo 4. We give a simple proof of the ...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
AbstractAssume that the compact Riemannian spin manifold (Mn,g) admits a G-structure with characteri...
We show that for a suitable class of 'Dirac-like' operators there holds a Gluing Theorem for connect...
Let W = S ⊗ E be a complex spinor bundle with vanishing first Chern class over a simply connected sp...
AbstractLet M be a compact spin manifold with a chosen spin structure. The Atiyah–Singer index theor...
We had previously defined in [10], the rho invariant ρspin(Y; ε;H; g) for the twisted Dirac operator...
Let W = S E be a complex spinor bundle with vanishing first Chern class over a simply connected ...
Let W = S E be a complex spinor bundle with vanishing first Chern class over a simply connected ...
AbstractAssume that the compact Riemannian spin manifold (Mn,g) admits a G-structure with characteri...
Abstract. Assume that the compact Riemannian spin manifold (Mn, g) admits a G-structure with charact...
Let (M, g) be a compact Riemannian spin manifold. The Atiyah- Singer index theorem yields a lower bo...
Let (M, g) be a compact Riemannian spin manifold. The Atiyah- Singer index theorem yields a lower bo...
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