748 citations · 1.1k across the 21 of their papers we have counts for
22 papers
From -spin to Negative -spin: Limits of Cohomological Field Theories and Tautological Relations
Deniz Genlik, Felix Janda
We prove that the negative -spin tautological relations of Chidambaram--Garcia-Failde--Giacchetto are a consequence of Pixton's -spin relations, for every , and deduce…
Punctured logarithmic R-maps
Qile Chen, Felix Janda, Yongbin Ruan
In this paper, we develop the theory of punctured R-maps as a crucial component of logarithmic gauged linear sigma models (log GLSM). A punctured R-map is a punctured map in the se…
Virtual cycles of stable (quasi)-maps with fields
Qile Chen, Felix Janda, Rachel Webb
We generalize the results of Chang-Li, Kim-Oh and Chang-Li on the moduli of -fields to the setting of (quasi-)maps to complete intersections in arbitrary smooth Deligne-Mumford…
The logarithmic gauged linear sigma model
Qile Chen, Felix Janda, Yongbin Ruan
We introduce the notion of log R-maps, and develop a proper moduli stack of stable log R-maps in the case of a hybrid gauged linear sigma model. Two virtual cycles (canonical and r…
Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds
Shuai Guo, Felix Janda, Yongbin Ruan
There is a set of remarkable physical predictions for the structure of BCOV's higher genus B-model of mirror quintic 3-folds which can be viewed as conjectures for the Gromov-Witte…
Double ramification cycles with target varieties
F. Janda, R. Pandharipande, A. Pixton +1
Let X be a nonsingular projective algebraic variety, and let S be a line bundle on X. Let A = (a_1,..., a_n) be a vector of integers. Consider a map f from a pointed curve (C,x_1,.…
Towards Logarithmic GLSM: The r-spin case
Qile Chen, Felix Janda, Yongbin Ruan +1
In this article, we establish the logarithmic foundation for compactifying the moduli stacks of the gauged linear sigma model using stable log maps of Abramovich-Chen-Gross-Siebert…
A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds
Shuai Guo, Felix Janda, Yongbin Ruan
We derive a closed formula for the generating function of genus two Gromov-Witten invariants of quintic 3-folds and verify the corresponding mirror symmetry conjecture of Bershadsk…
Higher-genus wall-crossing in the gauged linear sigma model
Emily Clader, Felix Janda, Yongbin Ruan
We introduce a technique for proving all-genus wall-crossing formulas in the gauged linear sigma model as the stability parameter varies, without assuming factorization properties…
Topological recursion relations from Pixton's formula
Emily Clader, Felix Janda, Xin Wang +1
We prove that every degree-g polynomial in the -classes on can be expressed as a sum of tautological classes supported on the boundary with no …
Higher-genus quasimap wall-crossing via localization
Emily Clader, Felix Janda, Yongbin Ruan
We give a new proof of Ciocan-Fontanine and Kim's wall-crossing formula relating the virtual classes of the moduli spaces of -stable quasimaps for different in any genus, wh…
Ternary Weight Networks
Fengfu Li, Bin Liu, Xiaoxing Wang +2
We present a memory and computation efficient ternary weight networks (TWNs) - with weights constrained to +1, 0 and -1. The Euclidian distance between full (float or double) preci…
Double ramification cycles on the moduli spaces of curves
F. Janda, R. Pandharipande, A. Pixton +1
Curves of genus g which admit a map to CP1 with specified ramification profile mu over 0 and nu over infinity define a double ramification cycle DR_g(mu,nu) on the moduli space of…
Pixton's double ramification cycle relations
Emily Clader, Felix Janda
We prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on Mbar_{g,n} vanishes in codimension beyond g. This yields a collection of taut…
Relations on via equivariant Gromov-Witten theory of
Felix Janda
We give a proof of Pixton's generalized Faber-Zagier relations in the tautological Chow ring of . The strategy is very similar to the work of Pandharipande-Pixto…
Frobenius Manifolds near the Discriminant and Relations in the Tautological Ring
Felix Janda
We give a criterion for extending a generically semisimple (not necessarily conformal) Frobenius manifold locally near a smooth point of the discriminant to a cohomological field t…
The hypergeometric functions of the Faber-Zagier and Pixton relations
A. Buryak, F. Janda, R. Pandharipande
The relations in the tautological ring of the moduli space M_g of nonsingular curves conjectured by Faber-Zagier in 2000 and extended to the moduli space of stable pointed curves b…
Comparing tautological relations from the equivariant Gromov-Witten theory of projective spaces and spin structures
Felix Janda
Pandharipande-Pixton-Zvonkine's proof of Pixton's generalized Faber-Zagier relations in the tautological ring of has started the study of tautological relation…
Gromov-Witten theory of target curves and the tautological ring
Felix Janda
In the Gromov-Witten theory of a target curve we consider descendent integrals against the virtual fundamental class relative to the forgetful morphism to the moduli space of curve…
Tautological relations in moduli spaces of weighted pointed curves
Felix Janda
Pandharipande-Pixton have used the geometry of the moduli space of stable quotients to produce relations between tautological Chow classes on the moduli space of smooth genus…
Socle pairings on tautological rings
Felix Janda, Aaron Pixton
We study some aspects of the pairing on the tautological ring of , the moduli space of genus stable curves of compact type. We consider pairing kappa classes with…
Gaussian rational points on a singular cubic surface
Ulrich Derenthal, Felix Janda
Manin's conjecture predicts the asymptotic behavior of the number of rational points of bounded height on algebraic varieties. For toric varieties, it was proved by Batyrev and Tsc…