euler characteristic
Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
... This paper deals with the Riemann-Roch problem for equivariant Zariski sheaves and equivariant ´etale sheaves on smooth projective curves, i.e. with the computation of their (equivariant!) Euler ...
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IJARSE, Vol. No.2, Issue No.4, April, 2013 ISSN-2319-8354(E)
... the Euler Number is calculated with the help of convexity, concavity and ...diagonals. Euler characteristic of an image has proven to be an important feature in many image analyses and visual ...
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On the Khovanov Homology of 2 and 3 Strand Braid Links
... The Main Theorem This section contains the chain complex, Khovanov bracket, graded Euler characteristic, and Khovanov homology of the braid link x1n.. The chain complex of the link xn [r] ...
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Variations on a theme of Horowitz
... negative Euler characteristic] for which the lengths of the geodesics in the respective homotopy classes are equal for any hyperbolic structure on ...
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Categorifying the magnitude of a graph
... This expression is precisely the alternating sum of the ranks of the magnitude chain groups, and in general these ranks are considerably larger than the ranks of magnitude homology groups. In Table 2, the ranks of the ...
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Vol 3, No 3 (2012)
... of Euler characteristic on CW-complexes under some known operations such as, Cartesian product, Join product, Suspension, Wedge sum, Quotient, Smash ...of Euler characteristic on finite graphs ...
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Local BPS invariants : enumerative aspects and wall crossing
... Our strategy to prove Theorem 1 is as follows. We use the wall-crossing in the moduli space of δ-stable pairs. The same strategy is used in [6] to study M β when S = P 2 . See § 3.3 for a review of δ-stable pair theory. ...
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ST A B L YF RE EMODU L E S O VE RT HEK L E I N B OT T L E
... each Euler characteristic ...on Euler characteristic level one above the ...with Euler characteristic 1 but homotopically distinct from X 1 ...
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Refined and l adic Euler characteristics of nearly perfect complexes
... used in [CKPS] (see Theorem (1.3)). We remark that the idea of using such a mapping cone construction in this context first occurs in [Bu4]. However, in [Bu4], only those nearly perfect complexes which satisfy a certain ...
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The Grothendieck Riemann Roch theorem for group scheme actions
... First we axiomatically introduce a certain category C of G -schemes which will prove to be an appropriate frame to carry out equivariant Riemann-Roch constructions in it. In particular we show that, for each X ∈ C , all ...
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Parallizable manifolds and the fundamental group
... In particular, the van- ishing of the Euler characteristic severely restricts the groups which can occur as fundamental groups of smooth closed parallelizable 4-manifolds.. In fact, for [r] ...
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A Brouwer fixed-point theorem for graph endomorphisms
... () The Petersen graph has order and size has a Euler characteristic – and an au- tomorphism group of elements. The Lefschetz number of the identity is –, there are automorphisms with L(T ) = ...
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Polygonal tiling of some surfaces containing fullerene molecules
... We only considered some fullerenes which contain triangles, squares, pentagons, and hexagons. Same argument can be done for ones that contain heptagons and octagons. In the last case the solutions for equation (∗) is ...
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Kinetic pathways of sheared block copolymer systems derived from Minkowski functionals
... suggests that the surface tension of such an interface is posi- tive. As the surface area levels out at the same time as the Euler characteristic, this suggests that the main mechanism of reducing surface ...
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Euler and Divergent Series
... Table 4, which also appears in the appendix, presents a small sample of the results for the regularised value of T I (0, 3/7, z 3 ) obtained from the Borel-summed forms given by Equiva- lence (116). This means that ...
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Euler, Father of Hemodynamics
... concepts Euler was not to develop until ...where Euler dealt with the problem of raising water to an elevated re- servoir with a piston ...hemodynamics”. Euler perhaps could very well be called the ...
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A reanalysis of a strong flow gyrokinetic formalism
... We reanalyse an arbitrary-wavelength gyrokinetic formalism [A. M. Dimits, Phys. Plasmas 17, 055901 (2010)], which orders only the vorticity to be small and allows strong, time-varying flows on medium and long ...
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10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... Abstract. The purpose of this paper is to obtain several series identities in- volving some classes of generalized Apostol-Bernoulli and Apostol-Euler poly- nomials introduced lately by Srivastava et al. in [16, ...
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Four Logarithmically Completely Monotonic Functions Involving Gamma Function and Originating from Problems of Traffic Flow
... In this paper, two classes of functions, involving a parameter and the Euler gamma function, and two functions, involving the Euler gamma function, are verified to be logarithmically com[r] ...
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An Assessment Of The Accuracy Of The Euler-Bernoulli Beam Theory For Calculating Strain and Deflection in Composite Sandwich Beams
... using Euler- Bernoulli simple beam ...the Euler-Bernoulli beam theory to perform normal strain and deflection calculations on composite sandwich beams with mechanical properties and geometry as described in ...
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