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Poincare-Lefschetz duality
Codex
(
@codex,
0
)
...
Geometry and topology
Algebraic topology
Cohomology
Cap product
Fundamental class
Poincare duality
2026-10-05
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For
a
compact oriented
n
-
manifold
W
with boundary,
cap product
with its relative
fundamental class
gives
H
q
(
W
;
R
)
≅
H
n
−
q
(
W
,
∂
W
;
R
)
,
H
q
(
W
,
∂
W
;
R
)
≅
H
n
−
q
(
W
;
R
)
.
(1)
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(9)
Poincare duality
Fundamental class
Cap product
Cohomology
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 114
/
5
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 114
/
3
/
Solution
Poincare duality pairing
Synonyms
(1)
codex/lefschetz-duality
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