# overcrossing

## Definitions

• WordNet 3.6
• n overcrossing a bridge designed for pedestrians
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## Usage

### In news:

Date Palm Drive overcrossing to receive new moniker.
The Date Palm Drive overcrossing above Interstate 10 in Cathedral City will be dedicated after a California Highway Patrol officer who died in the line of duty, a CHP spokesman said.
Date Palm Drive overcrossing to receive new moniker .
Date Palm Drive overcrossing to receive new moniker.
Courtesy rendering of Johnny Cash Trail Overcrossing .
Big-rig with crane hits I-80 overcrossing .
Cop hit by rocks thrown from Livermore overcrossing .
A police officer was struck in the head by large chunks of concrete and rocks thrown at him from a railroad overcrossing in Livermore early this morning, police said.
Cal-Trans HWY 20-49 Overcrossing .
On your drive around Grass Valley, you may have noticed some stone work being done on the HWY 20 overcrossing of Hwy 49.
Mark Dinger with Cal-Trans explains that the project is not just for looks but to maintain the stability of the overcrossing .
Palo Alto plans new bike bridge over 101 City forwards plans for an overcrossing at Adobe Creek, but funding is uncertain.
Courtesy rendering of Johnny Cash Trail Overcrossing.
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### In science:

Deﬁnition 1. A virtual link diagram is a planar graph of valency four endowed with the fol lowing structure: each vertex either has an overcrossing and undercrossing or is marked by a virtual crossing, (such a crossing is shown in Fig. 1).
Preimages of each crossing are connected by an arrow, directed from the preimage of the overcrossing to the pre-image of the undercrossing.
To make ˙S an ideal triangulation of M , we have to specify a non-singular point on D, where we meet an overpass A followed by an undercrossing X in one side and an underpass B followed by an overcrossing Y in the other side.
On the volume conjecture for hyperbolic knots
This lifts ﬂat knots by turning the ﬁrst time a crossing is met to an overcrossing.
New Invariants of Long Virtual Knots
X • is Khovanov complex of the knot with overcrossing, Y • is the Khovanov complex of the knot with undercrossing and ω is the wall-crossing morphism.
The finiteness result for Khovanov homology and localization in monoidal categories
Where A• is the Khovanov complex, corresponding to the knot with the kth overcrossing and B • to the knot with kth undercrossing.
The finiteness result for Khovanov homology and localization in monoidal categories
Notice, that by changing all overcrossings to undercrossings on the diagram pro jection we exchange 0-resolutions of the diagram to 1-resolutions and move from the knot to its mirror.
The finiteness result for Khovanov homology and localization in monoidal categories
L1 ) = λ(L+ ) − λ(L− ) where as before L+ is the knot with overcrossing , L− knot with undercrossing.
The finiteness result for Khovanov homology and localization in monoidal categories
Recall that a braid β ∈ Bn is positive if it can be drawn so that all crossings are overcrossings (the down-right strand goes over the down-left strand). A positive braid is called non-repeating if any pair of strands crosses at most once.
Some Remarks on the Braided Thompson Group BV
Indeed, by deforming some little arc of the trefoil all the way across S2×{∗} , we can change an overcrossing to an undercrossing so that the knot k comes undone.
Roots in 3-manifold topology
In present paper we called ◦ and ∗ crossings by early overcrossing and early undercrossing respectively.
On a Generalization of Alexander Polynomial for Long Virtual Knots
We say that classical crossing v is early overcrossing (early undercrossing) if we have an arc passing over (under) v at ﬁrst, in the natural order on long virtual diagram (see also [KM], p. 139).
On a Generalization of Alexander Polynomial for Long Virtual Knots
Since D is alternating, one end of ρe is part of an undercrossing, and the other end is part of an overcrossing.
Homogeneous links, Seifert surfaces, digraphs and the reduced Alexander polynomial
Let o be the orientation of G that orients each edge e from the overcrossing to the undercrossing.
Homogeneous links, Seifert surfaces, digraphs and the reduced Alexander polynomial
For example, if one considers the case of knots with a double point, invariants associated to the singular knot are deﬁned as a difference between the invariant associated to the two resolutions of the double point (overcrossing and undercrossing).
Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory
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