-
dimension 4 or less are
spinC. All
almost complex manifolds are
spinC. All
spin manifolds are
spinC. In
particle physics the
spin–statistics
theorem implies...
- In
spin geometry, a
spinᶜ structure (or
complex spin structure) is a
special classifying map that can
exist for
orientable manifolds. Such
manifolds are...
- In
spin geometry, a
spinᶜ group (or
complex spin group) is a Lie
group obtained by the
spin group through twisting with the
first unitary group.
C stands...
- representations. The
spin group is used in
physics when
describing the
symmetries of (electrically neutral, uncharged) fermions. Its complexification,
Spinc, is used...
-
every symplectic manifold) has a
Spinc structure. Likewise,
every complex vector bundle on a
manifold carries a
Spinc structure. A
number of Clebsch–Gordan...
-
spinᶜ group is
Spin c ( 4 ) = (
Spin ( 4 ) × U ( 1 ) ) / Z 2 ≅ U ( 2 ) × U ( 1 ) U ( 2 ) {\displaystyle \operatorname {
Spin} ^{\mathrm {
c}...
- The
Spinc (from the
Irish "An
Spinc";
meaning "pointed hill"),
which overlooks the
upper lake and the
Glendalough valley below. The most
noted Spinc trail...
- the
generalized notion of
orientability for that theory. For example, a
spinC-structure on a
manifold is a
precise analog of an
orientation within complex...
-
operator on a
spin manifold, Rarita–Schwinger/Stein–Weiss type operators,
conformal Laplacians,
spinorial Laplacians and
Dirac operators on
SpinC manifolds...
- _{k}\operatorname {SO} (n)\times \pi _{k}(S^{3})} for k ≥ 2 {\displaystyle k\geq 2} .
Spinᶜ group Christian Bär (1999). "Elliptic symbols".
Mathematische Nachrichten...