[PDF] Top 20 Geometry of moduli spaces of higher spin curves
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Geometry of moduli spaces of higher spin curves
... Theorem 2.1.1. The moduli space of 3-spin curves of genus 4 is rational. Let (C, η) be a general spin curve of genus 4 and order 3. The starting point for proving the theorem is the remark ... See full document
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Anabelian geometry and descent obstructions on moduli spaces
... Anabelian geometry is a program proposed by Grothendieck ([17, 18]) which suggests that for a certain class of varieties (called anabelian but, as yet, undefined) over a number field, one can recover the varieties ... See full document
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Moduli Spaces, Non-Commutative Geometry and Deformed Differential Categories
... Example 5. 2. Let X 0 : Ring → Gpd, be the classical moduli problem of example 2. 3, which assigns to each commutative ring R , the grupoid Hom ( Spec R , M 1, 1 ), of elliptic curves over R . It is ... See full document
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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 underlying curve C , is not ... See full document
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Homotopy theory of moduli spaces
... The Batalin-Vilkovisky (BV-)formalism was originally introduced in physics as a tool to quantise gauge theories and is named after the creators Igor Batalin and Grigori Vilkovisky [4, 5]. One of the strengths of the ... See full document
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Birational models of moduli spaces of coherent sheaves on the projective plane
... birational geometry of moduli spaces of sheaves on surfaces has been studied a lot in recent years; see for instance Arcara, Bertram, Coskun and Huizenga [2], Bayer and Macrì [6; 7], Bertram, ... See full document
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Virtual classes for the working mathematician
... of spaces on which we are usually interested to compute virtual ...of spaces with virtual classes are moduli spaces of curves on a given variety such as moduli spaces of ... See full document
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Moduli Problems in Derived Noncommutative Geometry
... We study moduli spaces of boundary conditions in 2D topological field theories. To a compactly generated linear infinity-category X, we associate a moduli functor M_X parametrizing compact objects in ... See full document
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Penrose Transform on D Modules, Moduli Spaces and Field Theory
... a moduli space, with the purpose of establishing the equivalences among geometric objects (vector bundles) and algebraic objects as they are the coherent D-modules, these last with the goal of obtaining conformal ... See full document
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Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces
... classical spin structures (theta characteristics) on compact Riemann surfaces play an important role in algebraic geometry since Riemann ...of spin bundles on a surface P and the affine space of ... See full document
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Moduli Spaces of Higher Spin Klein Surfaces
... In this paper we determine the connected components of the space of m-spin bundles on Klein surfaces, i.e. equivalence classes of m-spin bundles on Klein sur- faces up to topological equivalence as defined ... See full document
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Second variation of Zhang's λ-invariant on the moduli space of curves.
... (for curves over number fields) follows naturally from a standard con- jecture of Hodge index type of Gillet-Soul´e (we briefly recall this relationship in Section 2 ... See full document
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The rôle of Spin 9in Octonionic Geometry
... parallel Spin ( 9 ) structures has been identified and studied, under the name of Spin ( 9 ) structures of vectorial ...for Spin ( 9 ) structures, vectorial type is equivalent to locally conformally ... See full document
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The Coulomb branch formula for quiver moduli spaces
... where µ(m) is the M¨obius function (i.e. 1 if m is a product of an even number of distinct primes, −1 if m is a product of an odd number of distinct primes, or 0 otherwise). For primitive γ, Q and ¯ Q coincide. If γ is ... See full document
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Double Ramification Cycles and the n-Point Function for the Moduli Space of Curves
... The author was supported by grant Russian Science Foundation N16-11-10260, project ”Geometry and mathematical physics of integrable systems”. We are grateful to R. Pandharipande and S. Shadrin for useful ... See full document
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Vol 3, No 4 (2012)
... differential geometry of almost contact manifolds and related structures( see ...Legendre curves in Riemanniann and Lorentzian Sasaki Spaces and ... See full document
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Sequence spaces of fuzzy numbers defined by a sequence of moduli
... Alotaibi, Mursaleen, Sharma and Mohiuddine[1] used the Musielak-Orlicz function M= (M k ) , p = ( p k ) a bounded sequence of positive real numbers and σ one- to- one mapping from the set of positive integers into it ... See full document
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Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces
... There are two new features in our theorem. First, Inaba’s smoothness result only requires Ext −1 (E, E) = 0 and Hom(E, E) = C . However, in our situation there is no natural numerical condition on the objects to ... See full document
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On the geometry of free loop spaces
... For example, the space of sections of a smooth vector bundle over a compact connected finite-dimensional manifold is a nice Fréchet space and hence LM is locally modeled on nice Fréchet s[r] ... See full document
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Balleans of bounded geometry and G-spaces
... is a base of entourages for some (uniquely determined) uniformity on X. On the other hand, if U ⊆ X × X is a uniformity on X, then the ball structure (X, U , B) is lower symmetric and lower multiplicative, where B(x, U) ... See full document
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