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The Borel conjecture considers the obstruction from homotopy equivalence to homeomorphism for aspherical manifolds. The torus is the first computed case of Borel conjecture with the idea of splitting ...
Seifert fibered surgery on Montesinos knots     Exceptional Dehn surgery  hyperbolic knots  Montesinos knots       font style='font-size:12px;'> 2012/7/11
Exceptional Dehn surgeries on arborescent knots have been classified except for Seifert fibered surgeries on Montesinos knots of length 3. There are infinitely many of them as it is known that 4n+6 an...
Let K' be a hyperbolic knot in S^3 and suppose that some Dehn surgery on K' with distance at least 3 from the meridian yields a 3-manifold M of Heegaard genus 2. We show that if M does not contain an ...
Symplectic homology product via Legendrian surgery      Symplectic homology product  Legendrian surgery        font style='font-size:12px;'> 2011/2/23
This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken in [2] where the symplectic homology, as a vector space, was expressed in terms of the Legen...
Left-orderable fundamental groups and Dehn surgery      Left-orderable fundamental groups  Dehn surgery        font style='font-size:12px;'> 2010/12/9
There are various results that frame left-orderability of a group as a geometric property. Indeed, the fundamental group of a 3-manifold is left-orderable whenever the first Betti number is positive; ...
Mass endomorphism, surgery and perturbations      Dirac operator  mass endomorphism  surgery       font style='font-size:12px;'> 2010/12/14
We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics.The proof involves a study of the mass endomorphism under surge...
Variations on Fintushel-Stern Knot Surgery on 4-manifolds     Fintushel-Stern Knot Surgery  4-manifolds       font style='font-size:12px;'> 2010/3/1
We discuss some consequences Fintushel-Stern `knot surgery' operation coming from its handlebody description. We give some generalizations of this operation and give a counterexample to their conjectu...
Surgery Diagrams for Contact 3-Manifolds     contact 3-manifold  Legendrian link  contact surgery  spinc structure       font style='font-size:12px;'> 2010/2/26
In two previous papers, the two first-named authors introduced a notion of contact r-surgery along Legendrian knots in contact 3-manifolds. They also showed how (at least in principle) to convert any ...
In this paper, investigations are made to analyze the human body temperature during wound healing process due to surgery. Wound is considered after the skin graft. Skin graft is a technique used in pl...
We give some new examples of smooth 4-manifolds which are diffeomorphic although they are obtained by Fintushel-Stern knot surgeries on a smooth 4-manifold with different knots; the first such example...

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