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Relevant bibliographies by topics / FJRW theory

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Academic literature on the topic 'FJRW theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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Journal articles on the topic "FJRW theory"

1

Guéré, Jérémy. "Hodge Integrals in FJRW Theory." Michigan Mathematical Journal 66, no. 4 (November 2017): 831–54. http://dx.doi.org/10.1307/mmj/1508810817.

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2

Lin, Ai Jin. "Index computations in FJRW theory." Acta Mathematica Sinica, English Series 30, no. 1 (December 15, 2013): 97–118. http://dx.doi.org/10.1007/s10114-013-2649-3.

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Liu, Si-Qi, Yongbin Ruan, and Youjin Zhang. "BCFG Drinfeld–Sokolov hierarchies and FJRW-theory." Inventiones mathematicae 201, no. 2 (November 19, 2014): 711–72. http://dx.doi.org/10.1007/s00222-014-0559-3.

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Polishchuk, Alexander. "Fundamental Matrix Factorization in the FJRW-Theory Revisited." Arnold Mathematical Journal 5, no. 1 (February 25, 2019): 23–35. http://dx.doi.org/10.1007/s40598-019-00100-3.

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5

Wang, Xin. "Higher Genus FJRW Theory for Fermat Cubic Singularity." Acta Mathematica Sinica, English Series 37, no. 8 (August 2021): 1179–204. http://dx.doi.org/10.1007/s10114-021-0502-7.

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6

Francis, Amanda. "Computational techniques in FJRW theory with applications to Landau–Ginzburg mirror symmetry." Advances in Theoretical and Mathematical Physics 19, no. 6 (2015): 1339–83. http://dx.doi.org/10.4310/atmp.2015.v19.n6.a5.

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Chang, Huai-Liang, and Jun Li. "A Vanishing Associated With Irregular MSP Fields." International Mathematics Research Notices 2020, no. 20 (April 17, 2020): 7347–96. http://dx.doi.org/10.1093/imrn/rnaa049.

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Abstract In [ 7] and [ 8], the notion of Mixed-Spin-P (MSP) fields is introduced and their ${\mathbb{C}}^\ast $-equivariant moduli space ${{\mathcal{W}}}_{g,\gamma ,{\textbf d}}$ is constructed. In this paper, we prove a vanishing of a class of localization terms in $[(\mathcal{W}_{g,\gamma ,\mathbf{d}})^{\mathbb{C}^*}]^{\textrm{vir}}$, which implies the only quintic FJRW invariants that contribute to the relations derived from the theory of MSP fields are those with pure insertions $2/5$. It is critical in a proof of BCOV Feynman sum formula for quintic Calabi–Yau three-folds.

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Metaftsis, Vassilis, and Stratos Prassidis. "On the K-theory of certain extensions of free groups." Forum Mathematicum 28, no. 5 (September 1, 2016): 813–22. http://dx.doi.org/10.1515/forum-2014-0214.

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AbstractSince $\operatorname*{Hol}(F_{n})$ embeds into $\operatorname*{Aut}(F_{n+1})$, one can construct inductively the subgroups ${\mathcal{H}}_{(n)}$ of $\operatorname*{Aut}(F_{n+1})$ by setting ${{\mathcal{H}}_{(1)}=\operatorname*{Hol}(F_{2})}$ and ${{\mathcal{H}}_{(n)}=F_{n+1}\rtimes{\mathcal{H}}_{(n-1)}}$. We show that the FJCw holds for ${\mathcal{H}}_{(n)}$. Moreover, we calculate the lower K-theory for the groups ${\mathcal{H}}_{(n)}$.

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Helin, Ari Juhani, and Tomi Dahlberg. "Volume, benefits and factors that influence inter-municipal ICT cooperation in relation to ICT-related social services and healthcare services." Finnish Journal of eHealth and eWelfare 9, no. 4 (November 29, 2017): 299–312. http://dx.doi.org/10.23996/fjhw.61065.

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Information and communication technology (ICT) has become an integral part of the daily municipal administration, production and development of municipal services. Social services and health care account for ≥ 50% of municipal ICT expenditure. Municipalities operate and develop their ICT activities with limited ICT resources. This is an incentive for inter-municipal ICT cooperation. Four sets of secondary data are analysed in this article to evaluate how ICT cooperation is carried out in 20 Finnish municipal regions. Transaction cost economics (TCE), resource-based view (RBV), resource dependency theory (RDT) and the concepts of Granovetter’s social network theory are reviewed. The data are used to describe the expected and perceived economic and social benefits of inter-municipal ICT cooperation, and to understand the social connections that influence the execution of inter-municipal ICT cooperation. The data analysis revealed distinctive differences in the amount and forms of ICT cooperation, and regarding its governance. The results suggest that public organisations were able to benefit substantially from well-organised ICT cooperation. The characteristics of social networks were also found to relate to variations in the degree to which ICT cooperation was performed.

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Rincon, Fred, David A. Hildebrandt, Eric Reyer, and Mary Kay Bader. "Targeted Temperature Management in Nursing Care." Therapeutic Hypothermia and Temperature Management 5, no. 3 (September 2015): 121–24. http://dx.doi.org/10.1089/ther.2015.29001.fjr.

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Dissertations / Theses on the topic "FJRW theory"

1

Mancuso, Scott C. "Investigations into Non-Degenerate Quasihomogeneous Polynomials as Related to FJRW Theory." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5534.

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The motivation for this paper is a better understanding of the basic building blocks of FJRW theory. The basics of FJRW theory will be briefly outlined, but the majority of the paper will deal with certain multivariate polynomials which are the most fundamental building blocks in FJRW theory. We will first describe what is already known about these polynomials and then discuss several properties we proved as well as conjectures we disproved. We also introduce a new conjecture suggested by computer calculations performed as part of our investigation.

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Tay, Julian Boon Kai. "Poincaré Polynomial of FJRW Rings and the Group-Weights Conjecture." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3604.

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FJRW-theory is a recent advancement in singularity theory arising from physics. The FJRW-theory is a graded vector space constructed from a quasihomogeneous weighted polynomial and symmetry group, but it has been conjectured that the theory only depends on the weights of the polynomial and the group. In this thesis, I prove this conjecture using Poincaré polynomials and Koszul complexes. By constructing the Koszul complex of the state space, we have found an expression for the Poincaré polynomial of the state space for a given polynomial and associated group. This Poincaré polynomial is defined over the representation ring of a group in order for us to take G-invariants. It turns out that the construction of the Koszul complex is independent of the choice of polynomial, which proves our conjecture that two different polynomials with the same weights will have isomorphic FJRW rings as long as the associated groups are the same.

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Francis, Amanda. "New Computational Techniques in FJRW Theory with Applications to Landau Ginzburg Mirror Symmetry." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3265.

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Mirror symmetry is a phenomenon from physics that has inspired a lot of interesting mathematics. In the Landau-Ginzburg setting, we have two constructions, the A and B models, which are created based on a choice of an affine singularity with a group of symmetries. Both models are vector spaces equipped with multiplication and a pairing (making them Frobenius algebras), and they are also Frobenius manifolds. We give a result relating stabilization of singularities in classical singularity to its counterpart in the Landau-Ginzburg setting. The A model comes from so-called FJRW theory and can be de fined up to a full cohomological field theory. The structure of this model is determined by a generating function which requires the calculation of certain numbers, which we call correlators. In some cases the their values can be computed using known techniques. Often, there is no known method for finding their values. We give new computational methods for computing concave correlators, including a formula for concave genus-zero, four-point correlators and show how to extend these results to find other correlator values. In many cases these new methods give enough information to compute the A model structure up to the level of Frobenius manifold. We give the FJRW Frobenius manifold structure for various choices of singularities and groups.

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Cordner, Nathan James. "Isomorphisms of Landau-Ginzburg B-Models." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5882.

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Landau-Ginzburg mirror symmetry predicts isomorphisms between graded Frobenius algebras (denoted A and B) that are constructed from a nondegenerate quasihomogeneous polynomial W and a related group of symmetries G. In 2013, Tay proved that given two polynomials W1, W2 with the same quasihomogeneous weights and same group G, the corresponding A-models built with (W1, G) and (W2, G) are isomorphic. An analogous theorem for isomorphisms between orbifolded B-models remains to be found. This thesis investigates isomorphisms between B-models using polynomials in two variables in search of such a theorem. In particular, several examples are given showing the relationship between continuous deformation on the B-side and isomorphisms that stem as a corollary to Tay's theorem via mirror symmetry. Results on extending known isomorphisms between unorbifolded B-models to the orbifolded case are exhibited. A general pattern for B-model isomorphisms, relating mirror symmetry and continuous deformation together, is also observed.

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5

Johnson, Jared Drew. "An Algebra Isomorphism for the Landau-Ginzburg Mirror Symmetry Conjecture." BYU ScholarsArchive, 2011. https://scholarsarchive.byu.edu/etd/2793.

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Landau-Ginzburg mirror symmetry takes place in the context of affine singularities in CN. Given such a singularity defined by a quasihomogeneous polynomial W and an appropriate group of symmetries G, one can construct the FJRW theory (see [3]). This construction fills the role of the A-model in a mirror symmetry proposal of Berglund and H ubsch [1]. The conjecture is that the A-model of W and G should match the B-model of a dual singularity and dual group (which we denote by WT and GT). The B-model construction is based on the Milnor ring, or local algebra, of the singularity. We verify this conjecture for a wide class of singularities on the level of Frobenius algebras, generalizing work of Krawitz [10]. We also review the relevant parts of the constructions.

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6

Webb, Rachel Megan. "The Frobenius Manifold Structure of the Landau-Ginzburg A-model for Sums of An and Dn Singularities." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3794.

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In this thesis we compute the Frobenius manifold of the Landau-Ginzburg A-model (FJRW theory) for certain polynomials. Specifically, our computations apply to polynomials that are sums of An and Dn singularities, paired with the corresponding maximal symmetry group. In particular this computation applies to several K3 surfaces. We compute the necessary correlators using reconstruction, the concavity axiom, and new techniques. We also compute the Frobenius manifold of the D3 singularity.

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