Moduli space of curves
Second variation of Zhang's λ-invariant on the moduli space of curves.
... Abstract. We compute the second variation of the λ-invariant, recently introduced by S. Zhang, on the complex moduli space M g of curves of genus g ≥ 2, using work of N. Kawazumi. As a result we ...
17
Double Ramification Cycles and the n-Point Function for the Moduli Space of Curves
... Abstract. In this paper, using the formula for the integrals of the ψ-classes over the double ramification cycles found by S. Shadrin, L. Spitz, D. Zvonkine and the author, we derive a new explicit formula for the n ...
11
Geometry of moduli spaces of higher spin curves
... this space represent isomorphism classes of complex manifold structures that can be put on a fixed compact genus g Riemann ...corresponding moduli space is a single ...elliptic curves that, ...
57
On the moduli space of superminimal surfaces in spheres
... twistor space of S 2n and projective space, we describe, up to birational equivalence, the moduli space of superminimal surfaces in S 2n of degree d as curves of degree d in projective ...
25
On stable rationality of some conic bundles and moduli spaces of Prym curves
... Abstract. We prove that a very general hypersurface of bidegree (2, n) in P 2 × P 2 for n bigger than or equal to 2 is not stably rational, using Voisin’s method of integral Chow-theoretic decompositions of the di- ...
23
Double Ramification Cycles and Integrable Hierarchies
... stable curves can be described by integrable hierarchies in two different ways ([Kaz09, ...the moduli space of r-spin curves and its generalizations ([Wit93, FSZ10, ...the moduli ...
19
The exact connection between the feynman integral and a completely integrable system
... Finally our method will develop further by reformulating a generalised conjecture of Witten (1993): analogously the generator function τ r− spin of the intersection numbers on the moduli space of r-spin ...
27
The Geometry of Moduli Spaces of Maps from Curves
... the moduli space of stable quotients can be viewed as a way of compactifying the space of smooth curves to G ( r, n ) ...The moduli space of such maps, where we fix the ...
84
Moduli space and deformations of special Lagrangian submanifolds with edge singularities
... Observe that h(0, z) : C → L H s (X ), H s−l (X ) defines an operator-valued polyno- mial of degree l on C where H s (X ) denotes the classical Sobolev space of order s on a closed manifold. It is easy to check ...
92
Geometric Invariant Theory Compactification of Quintic Threefolds.
... structure moduli space of Y is the same as the complexified K¨ahler moduli space of Y ...the space of complex structure moduli space for Calabi-Yau quintic threefolds ...
106
The ADHM construction and its applications to Donaldson theory
... We then try to adapt these arguments to the case of hyper Kahler reduction in order to- lift the calculation of integrals from the moduli space to the finite dimensional vector space of [r] ...
122
Convolution estimates related to space curves
... results previously known for convolution estimates related to space curves, namely [1-6]. This article is organized as follows: in the following section, a uniform estimate for convolution operators with ...
6
The evolution of space curves by curvature and torsion
... resolving space curves, from fuzzy three-dimensional images, within the image processing community (see, for example, ...a space curve) from an MRI ...
23
Moduli space of filtered λ ringstructures over a filtered ring
... 4. Examples. In this final section, we study points in the moduli spaces of filtered λ-ring structures over certain filtered rings. In each case, we will exhibit uncountably many mutually nonisomorphic filtered λ-ring ...
20
Moduli Problems in Derived Noncommutative Geometry
... It is a remarkable fact that much of the geometry of a “geometric background” (algebraic space, symplectic manifold,...) is encoded in the noncommutative shadow attached to it, and the associated 2D-TFT. For ...
139
Normal curves in n dimensional Euclidean space
... between the curvatures for any unit speed curve to be congruent to a normal curve in the n-dimensional Euclidean space. Moreover, the differentiable function f (s) is introduced by using the relationship between ...
12
On Pseudohyperbolical Smarandache Curves in Minkowski 3 Space
... (ii) ⃗𝑥 × ( ⃗𝑦 × ⃗𝑧) = −⟨ ⃗𝑥, ⃗𝑧⟩ ⃗𝑦 + ⟨ ⃗𝑥, ⃗𝑦⟩ ⃗𝑧, (iii) ⟨ ⃗𝑥 × ⃗𝑦, ⃗𝑥 × ⃗𝑦⟩ = −⟨ ⃗𝑥, ⃗𝑥⟩⟨ ⃗𝑦, ⃗𝑦⟩ + ⟨ ⃗𝑥, ⃗𝑦⟩ 2 , where × is the pseudovector product in the space R 3 1 . Lemma 2. In the Minkowski ...
8
Physical phase space of lattice Yang Mills theory and the moduli space of flat connections on a Riemann surface
... phase space. It is known that quantization of a compact phase space leads to a finite-dimensional Hilbert space and, therefore, any operator acting in the space has a discrete spectrum and one ...
12
On the Quaternionic Curves in the Semi-Euclidean Space E_4_2
... a curve in E 4 2 , firstly some characterizations of semi-real quaternionic involute-evolute curves are obtained in E 4 2 . In addition, some results for semi-real quaternionic w − curves which have constant ...
10
Conformal Geometry of Arc length Functional on Space Curves and Space time
... Euclidean space, it is known that any conformal diffeomorphisms defined on an open subset of ℝ 2 are homography or anti-homography and these can be seen as a conformal map defined on Riemann ...
8