-
mathematical field of
geometric topology, a
handlebody is a
decomposition of a
manifold into
standard pieces.
Handlebodies play an
important role in
Morse theory...
-
oriented 3-manifold that
results from
dividing it into two
handlebodies. Let V and W be
handlebodies of
genus g, and let ƒ be an
orientation reversing homeomorphism...
- 3-manifold is a
decomposition of a 3-manifold into the
union of two (3,1)-
handlebodies along their common boundary,
called the
Heegaard splitting surface. Heegaard...
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orientable surface is null-cobordant,
because it is the
boundary of a
handlebody. On the
other hand, the 2n-dimensional real
projective space P 2 n ( R...
-
gluing the unit disk
along the boundary. The
genus of a 3-dimensional
handlebody is an
integer representing the
maximum number of
cuttings along embedded...
- Andrews–Curtis conjecture. Andrews, J. J.; Curtis, M. L. (1965), "Free
groups and
handlebodies",
Proceedings of the
American Mathematical Society, 16 (2), American...
-
method used to
decompose into
handlebodies is the
Heegaard splitting,
which gives a
decomposition in two
handlebodies of
equal genus. As an example:...
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boundary with that link
Trigenus Compact,
closed 3-manifolds
Surgeries Three orientable handlebodies Unions along subsurfaces on
boundaries of
handlebodies...
-
geometric topology, most
commonly studied are
Morse functions,
which yield handlebody decompositions,
while in
mathematical analysis, one
often studies solution...
-
March 11, 2011. Andrews, J. J.; Curtis, M. L. (1965), "Free
groups and
handlebodies",
Proceedings of the
American Mathematical Society, 16 (2): 192–195,...
