All Questions
Tagged with gt.geometric-topology reference-request
361 questions
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Kontsevich integral for 2-bridge knots
Are there any articles that explain a formula for Kontsevich integral of 2-bridge knots?
- 11
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Ambient isotopy of the diagonal submanifold in product space
Given a closed manifold $M^n$ and its $k$-fold product space $M^n\times\cdots\times M^n$,Can the diagonal submanifold $\Delta:=\{(m,\cdots,m)\in (M^n)^k\mid m\in M\}$ be isotopied to the submanifold
$...
- 73
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Reference for a topological result
I am reading the short paper due to Erdös and Bollobás "On a Ramsey-Turán type problem", where they obtain a lower bound for the number of edges on an $n$-graph without $K_4$ as a subgraph ...
- 1,561
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What are problems at the center of geometric topology of 2 dimensions? [closed]
I am working on Geometric Topology in 2 dimensions but I don't know which problems are important and make many connections between different areas. I hope Mathematicians can give me some ideas? Thank ...
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Torelli group of a punctured elliptic curve
Let $T_{g,n}$ be the Torelli group of a $n$-punctured surface $S=\overline{S}\setminus\{x_1,\ldots,x_n\}$, with $\overline S$ orientable, closed and of genus $g$. By definition, $T_{g,n}$ is the ...
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Topology of manifolds and transition functions
let me start by describing some examples which may well demonstrate the motivation:
A manifold is obtained by glueing together Euclidean spaces, and there is a transition function on the overlap of ...
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Construct a homeomorphism of a surface that sends a subsurface to another subsurface
Let S be a compact orientable surface. Let A and B be two subsurfaces of S that have the same signature. How to check if there is a homeomorphism of S that sends A to B and if so, find one?
Here a ...
user127837
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Constructing Invariant Lamination of a Pseudo-Anosov Given By Dehn Twists
The simplest case of a well known theorem of Penner states that given a pair of filling curves, a positive twist about one curve together with a negative twist about the other curve is a pseudo-anosov ...
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First introduction of horofunctions
Let $(X,d)$ be a metric space.
An (intern) horofunction is a function of the form $h_y:x\mapsto d(x,y)-d(x_0,y)$, where $x_0$ is a fixed point.
Now, the map $y\mapsto h_y$ is one-to-one and continuous ...
- 2,090
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when is "fibering" preserved under homotopy equivalence
Suppose I have an oriented $F$ bundle over $B$ with total space $E$ (all of the three are closed manifolds) and i have a closed manifold $E'$ which is homotopy equivalent to $E$.Is there any condition ...
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Construct a homeomorphism between two surfaces
Given two compact oriented surfaces that have the same number of genus and boundary components. How to construct a homeomorphism that sends one to another?
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