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Topic: Handlebodies

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	Heegaard splitting - Wikipedia, the free encyclopedia
		In mathematics, in the sub-field of geometric topology, a Heegaard splitting is a special structure on a 3-manifold that results from dividing it into two handlebodies.
		To be precise, suppose that V and W are handlebodies of the same genus.
		The decomposition of M into two handlebodies is called a Heegaard splitting, and their common boundary is called the Heegaard surface of the splitting.
	en.wikipedia.org /wiki/Heegaard_splitting (1348 words)

	Isotopies of automorphisms of handlebodies and of connected sums of `s. (Site not responding. Last check: 2007-10-16)
		Isotopies of automorphisms of handlebodies and of connected sums of `s.
		Isotopies of automorphisms of handlebodies and of connected sums of
		This leads to the study of automorphisms of handlebodies.
	www.icmc.usp.br /~getds/abst/carvalho.html (78 words)

	Jim Dunion's Dissertation: Genus g Handlebodies and Their Minmal Triangulations (Site not responding. Last check: 2007-10-16)
		\br 3.) All minimal triangulations of genus g handlebodies are composed of a string of g-2 "atoms" with an end cap at each end.
		After these preliminary results we exhibit a general collection of minimal tiangulations of the genus g handlebodies, and present the various surfaces of interest within each.
		Specifcally we determine which triangulations are totally-Q, as in the case of genus 2, presented in the previous chapter.
	www.math.uconn.edu /~dunion/Jim/Defense5.html (255 words)

	Geometry and Topology, Volume 10 (2006) (Site not responding. Last check: 2007-10-16)
		Among (isotopy classes of) automorphisms of handlebodies those called irreducible (or generic) are the most interesting, analogues of pseudo-Anosov automorphisms of surfaces.
		We consider the problem of isotoping an irreducible automorphism so that it is most efficient (has minimal growth rate) in its isotopy class.
		In addition, partly in order to provide counterexamples in our study of properties of invariant laminations, we develop a method for generating a class of irreducible automorphisms of handlebodies.
	www.msp.warwick.ac.uk /gt/2006/10/p003.xhtml (123 words)

	AMCA: Detecting torsion in skein modules using Hochschild homology by Michael McLendon (Site not responding. Last check: 2007-10-16)
		Given a Heegaard splitting of a closed 3-manifold, the skein modules of the two handlebodies are modules over the skein algebra of their common boundary surface.
		The zeroth Hochschild homology of the skein algebra of a surface with coefficients in the tensor product of the skein modules of two handlebodies is interpreted as the skein module of the 3-manifold obtained by gluing the two handlebodies together along this surface.
		A spectral sequence associated to the Hochschild complex is constructed and conditions are given for the existence of algebraic torsion in the skein module of this 3-manifold.
	at.yorku.ca /c/a/j/r/06.htm (165 words)

	Jim Dunion's Dissertation: Genus Two Handlebodies and Their Minmal Triangulations (Site not responding. Last check: 2007-10-16)
		In which we make an examination of the various minimal triangulations of the 4-tetrahdron one-vertex triagulations of the genus 2 handlebody.
		The unique face of the joining tetrahedron that conatins this edge remains in the boundary surface and so does not participate in the matching with the other joining tetrahedron.
		After these preliminary results we exhibit the collection of minimal tiangulations of the genus 2 handlebody, and present the various surfaces of interest within each.
	www.math.uconn.edu /~dunion/Jim/Defense4.html (178 words)

	DC MetaData for: Braid groups related to knot complements, handlebodies and 3--manifolds (Site not responding. Last check: 2007-10-16)
		DC MetaData for: Braid groups related to knot complements, handlebodies and 3--manifolds
		Braid groups related to knot complements, handlebodies and 3--manifolds
		groups or appropriate cosets of them are related to knots in handlebodies, in knot complements and in
	webdoc.sub.gwdg.de /ebook/e/2003/mathgoe/preprint/meta/mg.2000.01.html (128 words)

	Handlebody -- from Wolfram MathWorld (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-10-16)
		Handlebody -- from Wolfram MathWorld (via CobWeb/3.1 planetlab1.netlab.uky.edu)
		Weisstein, Eric W. "Handlebody." From MathWorld--A Wolfram Web Resource.
		Show your math savvy with a MathWorld T-shirt.
	mathworld.wolfram.com.cob-web.org:8888 /Handlebody.html (45 words)

	Atlas: Free actions on handlebodies by Darryl McCullough (Site not responding. Last check: 2007-10-16)
		Atlas: Free actions on handlebodies by Darryl McCullough
		We will discuss recent results and open questions about free actions of finite groups on 3-dimensional handlebodies.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagh-07.
	atlas-conferences.com /c/a/g/h/07.htm (68 words)

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