Bps invariants

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August undefined, 2024

Web3.4.2 BPS invariants for O(−2,−2) → P1 ×P1 in the large volume limit . 15 3.4.3 The reﬁnement of perturbative CS theory on the Lens space L(2,1) 18 4 Enumerative invariants of Calabi-Yau ... WebNov 13, 2024 · Title: Perverse filtrations, Chern filtrations, and refined BPS invariants for local $\mathbb{P}^2$ Authors: Yakov Kononov , Weite Pi , Junliang Shen Download a …

Moduli of one-dimensional sheaves on P^2: cohomology, …

WebIn this thesis, we consider two main subjects: the refined BPS invariants of Calabi-Yau threefolds, and three-dimensional Chern-Simons theory with complex gauge group. We … WebMar 6, 2024 · In this talk, we present some recent progress on this cohomology ring, including a minimal set of tautological generators, and a “Perverse = Chern” conjecture … thomas gengler obituary

BPS Spectra and 3-Manifold Invariants Request PDF

Webas in [].These notions are properly defined and explained in Sect. 3.This algebra categorifies Donaldson–Thomas theory in the sense that Donaldson–Thomas invariants for the category of $\upzeta $-semistable modules in ${\mathcal {S}}$ are obtained by considering the class in the Grothendieck group of the $\Uplambda _{\upmu }^{\upzeta }$-graded … WebJul 29, 2024 · Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or $\hbox {Spin}^c$ structures, etc. In a context where the BPS-generating … WebThe proof relies on a correspondence between all-genus Gromov–Witten invariants and refined Donaldson–Thomas invariants of acyclic quivers. In particular, the corresponding BPS invariants are expressed in terms of Betti numbers of moduli spaces of quiver representations. This is a joint work with Pierrick Bousseau. Lecture Notes. Video. thomas gentzel

Bifurcation of embedded curves and Gopakumar Vafa …

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WebNov 14, 2009 · It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce refined BPS invariants that carry information not only about the charge of the BPS state but also about the spin content. In this paper we study how these invariants behave under wall crossing. In particular, by applying a refined wall crossing formula, we … WebJul 29, 2024 · Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or $\hbox {Spin}^c$ structures, etc. In a context where the BPS-generating series depends on a choice of $\hbox {Spin}^c$ structure, we show how different limits with respect to the expansion variable q and different ways of summing over \(\hbox … uf work study permitWebSep 8, 2024 · Invariants of this kind have a long history, notably in Donaldson theory of 4-manifolds, Vafa-Witten invariants, and so on, and are the subject of many conjectures in mathematics and String Theory. It is common to combine the invariants in formal power series — “generating functions” — which may have interesting number-theoretic ... thomas gensicke

"WebTitle Integer-valued Gromov-Witten invariants. Abstract: Gromov-Witten invariants are generally rational numbers because of the contribution of holomorphic curves with nontrivial symmetries. ... For example, it has been found that, in many cases, the Stokes constants appearing in resurgent analysis are related to BPS invariants. In this talk I ... " - Bps invariants

Bps invariants

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WebMar 14, 2024 · Several mathematical theories in geometry are interpreted as counting BPS-states in the sense of integration on appropriate compactification of the moduli space of BPS-states in a related physical model attached to the underlying geometry: most notably the Gromov-Witten invariants, Donaldson-Thomas invariants and the Thomas … WebOct 25, 2024 · Known results on these BPS spectra are correctly reproduced by computing new types of BPS invariants of 3d-5d BPS states, encoded by nonabelianization, through their wall-crossing. We also develop the notion of exponential BPS graphs for the simplest toric examples, and show that they encode both the quiver and the potential associated …

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WebOct 16, 2012 · The refined BPS index from stable pair invariants. Jinwon Choi, Sheldon Katz, Albrecht Klemm. A refinement of the stable pair invariants of Pandharipande and … WebFeb 15, 2024 · Resurgence analysis of quantum invariants of Seifert fibered homology spheres. Jørgen Ellegaard Andersen, Jørgen Ellegaard Andersen. Center for Quantum …

WebJan 15, 2024 · This has various deep consequences; in particular, expressing open BPS invariants in terms of motivic Donaldson-Thomas invariants, immediately proves integrality of the former ones. Taking advantage of the relation to quivers we also derive explicit expressions for classical open BPS invariants for an arbitrary strip geometry, which lead … WebThe moduli spaces of one-dimensional sheaves on P^2, first studied by Simpson and Le Potier, admit a Hilbert-Chow morphism to a projective base that behaves like a completely integrable system. Following a proposal of Maulik-Toda, one expects to obtain certain BPS invariants from the perverse filtration on cohomology induced by this morphism.

WebA. Haydys – Introduction to gauge theory. Jacob Rasmussen – Knots, polynomials, and categorification. Jennifer Hom – Lecture notes on Heegaard Floer homology. Laura Schaposnik – Advanced topics in gauge theory: Mathematics and Physics of Higgs bundles. Tomasz Mrowka and Donghao Wang – Gauge theory and a few applications to knot theory. WebNov 17, 2024 · In this work we verify consistency of refined topological string theory from several perspectives. First, we advance the method of computing refined open amplitudes by means of geometric transitions. Based on such computations we show that refined open BPS (Bogomol'nyi--Prasad--Sommerfield) invariants are non-negative integers for a …

WebJan 3, 2024 · The numerator is determined by modularity up to a finite number of coefficients, which we prove to be fixed uniquely by imposing vanishing conditions on 5d … thomas genster hagenWebJan 27, 2024 · The moduli spaces of one-dimensional sheaves on P^2, first studied by Simpson and Le Potier, admit a Hilbert-Chow morphism to a projective base that … uf workshopsWebThe relevant BPS invariants arise from the K-theoretic enumerative geometry of the moduli spaces of quiver representations, adapting a construction by Nekrasov and Okounkov. In particular, refined ... thomas genge youtubeWebGeometric techniques will be applied to advance the theory of the associated BPS invariants and their refinements, including orientations on the derived category of coherent sheaves on a Calabi-Yau threefold, Fourier-Mukai transforms as global symmetries of physical theories, a new theory of log BPS invariants, and advancing the connection ... thomas gentry community centerWebSep 24, 2024 · Cobordism invariants from BPS q-series. Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or Spin structures, etc. In a … thomas gent gentle farmingWebNov 28, 2024 · Title: Networks and BPS Counting: A-branes view point. Abstract: I will review the countings of BPS invariants via exponential/spectral networks and present an interpretation of this counting as a count of certain points in the moduli space of A-branes corresponding to degenerate Lagrangians. 04:45pm – 05:30pm: Shinobu Hosono thomas gentry obituaryWebApr 5, 2014 · Stable pairs and BPS invariants. J. Amer. Math. Soc., 23 (1):267–297, 2010.Google Scholar [46] C. T., Simpson. Higgs bundles and local systems. ... Generating functions of stable pair invariants via wall-crossings in derived categories. In New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry (RIMS, … ufw pension fund