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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Borel conjecture for the torus and the splitting of surgery sets
环面 Borel猜想 外科手术集 分裂
2023/5/10
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
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...
Obtaining genus 2 Heegaard splittings from Dehn surgery
genus 2 Heegaard splittings Dehn surgery Geometric Topology
2012/5/9
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
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
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; ...
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
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
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 ...
Study of temperature variation in human peripheral region during wound healing process due to plastic surgery
Wound healing Finite element method
2010/9/17
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...
A Connected Sum of Knots and Fintushel-Stern Knot Surgery on 4-manifolds
Knots 4-manifolds Fintushel-Stern Knot
2010/2/26
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...