- In mathematics, a
bundle is a
generalization of a
fiber bundle dropping the
condition of a
local product structure. The
requirement of a
local product...
-
Cartesian product, a prin****l
bundle P {\displaystyle
P} is
equipped with An
action of G {\displaystyle G} on
P {\displaystyle
P} ,
analogous to ( x , g )...
- the
bundle; that is, a way to "connect" or
identify fibers over
nearby points. A prin****l G-connection on a prin****l G-
bundle P {\displaystyle
P} over...
-
projective bundle is a
fiber bundle whose fibers are
projective spaces. By definition, a
scheme X over a
Noetherian scheme S is a Pn-
bundle if it is locally...
- a
composite bundle P →
P / H → X {\displaystyle
P\to
P/H\to X}
where P →
P / H {\displaystyle
P\to
P/H} is a prin****l
bundle with the
structure group...
-
theory of
fiber bundles with a
structure group G {\displaystyle G} (a
topological group)
allows an
operation of
creating an ****ociated
bundle, in
which the...
- {
P} ^{n}}(1)} . The
hyperplane bundle is the line
bundle corresponding to the
hyperplane (divisor)
P n − 1 {\displaystyle \mathbb {
P} ^{n-1}} in
P n...
-
theory of prin****l
connections on a prin****l
bundle.
Given a prin****l
bundle P → X {\displaystyle
P\to X} with a
structure Lie
group G {\displaystyle...
- 2-sphere. This
fiber bundle structure is
denoted S 1 ↪ S 3 →
p S 2 , {\displaystyle S^{1}\hookrightarrow S^{3}{\xrightarrow {\
p\,}}S^{2},}
meaning that...
-
theory is the
general study of
connections on
vector bundles, prin****l
bundles, and
fibre bundles.
Gauge theory in
mathematics should not be confused...
