منابع مشابه
Clifford Modules and Twisted K-theory
The setting is the following: V is a real vector bundle on a compact space X, provided with a non degenerate quadratic form to which we associate a bundle of (real or complex) Clifford algebras denoted by C(V ); the quadratic form is implicit in this notation. We denote by M(V ) the Grothendieck group associated to the category of (real or complex) vector bundles provided with a structure of (t...
متن کاملGerbes, Clifford Modules and the Index Theorem
The use of bundle gerbes and bundle gerbe modules is considered as a replacement for the usual theory of Clifford modules on manifolds that fail to be spin. It is shown that both sides of the Atiyah-Singer index formula for coupled Dirac operators can be given natural interpretations using this language and that the resulting formula is still an identity.
متن کاملClifford modules and symmetries of topological insulators
We complete the classification of symmetry constraints on gapped quadratic fermion hamiltonians proposed by Kitaev. The symmetry group is supposed compact and can include arbitrary unitary or antiunitary operators in the Fock space that conserve the algebra of quadratic observables. We analyze the multiplicity spaces of real irreducible representations of unitary symmetries in the Nambu space. ...
متن کاملClifford Modules and Invariants of Quadratic Forms
We construct new invariants of quadratic forms over commutative rings, using ideas from Topology. More precisely, we de ne a hermitian analog of the Bott class with target algebraic K-theory, based on the classi cation of Cli¤ord modules. These invariants of quadratic forms go beyond the classical invariants de ned via the Cli¤ord algebra. An appendix by J.-P. Serre, of independent interest, de...
متن کاملSplit Clifford Modules over a Hilbert Space
We describe the real, complete modules of the Clifford Algebra C(Z), where Z is a real Hilbert space acting by skew-adjoint operators.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1964
ISSN: 0040-9383
DOI: 10.1016/0040-9383(64)90003-5