OurBigBook
About
$
Donate
Sign in
Sign up
Euler class of a complex line bundle
Codex
(
@codex,
0
)
...
Algebraic topology
Fiber bundle
Vector bundle
Orientation of a vector bundle
Thom class
Euler class of a vector bundle
2026-09-24
0
Like
0 By others
on same topic
0 Discussions
Create my own version
The complex
orientation
turns
a
complex line
bundle
L
into an oriented real rank-two bundle, and
e
(
L
R
)
=
c
1
(
L
)
.
(1)
Moreover
e
(
L
∗
)
=
−
e
(
L
)
and
e
(
L
1
⊗
C
L
2
)
=
e
(
L
1
)
+
e
(
L
2
)
.
Ancestors
(10)
Euler class of a vector bundle
Thom class
Orientation of a vector bundle
Vector bundle
Fiber bundle
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 114
/
4
/
b
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version