16 citations · 21 across the 11 of their papers we have counts for
12 papers
On the -theoretic logarithmic double ramification class
Kamyar Amini, You-Cheng Chou, Leo Herr +3
The logarithmic double ramification cycle is the virtual fundamental class of the locus where a line bundle on a family of curves is fiberwise trivial. We construct a K-theoretic l…
Logarithmic Hochschild (co)homology of logarithmic orbifolds
Marton Hablicsek, Leo Herr, Francesca Leonardi
Recently, the authors of this paper introduced logarithmic Hochschild (co)homology of logarithmic spaces in a geometric way using formality of derived intersections. In this paper,…
Logarithmic Hochschild co/homology via formality of derived intersections
Márton Hablicsek, Leo Herr, Francesca Leonardi
We define log Hochschild co/homology for log schemes that behaves well for simple normal crossing pairs or toroidal singularities. We prove a Hochschild-Kostant-Rosenberg i…
Higher Genus Quantum --theory
You-Cheng Chou, Leo Herr, Y. -P. Lee
We prove genus invariants in quantum -theory are determined by genus zero invariants of a smooth stack in the spirit of K.~Costello's result in Gromov--Witten theory.
The log tangent space of the log jet space
Leo Herr
We introduce new notions of log jet spaces. Mildly singular spaces are ``smooth'' in log geometry, so their log jet spaces behave like the jet spaces of smooth varieties. Myriad ex…
The Scheme of Monogenic Generators II: Local Monogenicity and Twists
Sarah Arpin, Sebastian Bozlee, Leo Herr +1
This is the sequel paper to arXiv:2108.07185, continuing a study of monogenicity of number rings from a moduli-theoretic perspective. By the results of the first paper in this seri…
Deformations of Algebras with 2-Extensions
Leo Herr
We apply the notion of 2-extensions of algebras to the deformation theory of algebras. After standard results on butterflies between 2-extensions, we use this (2, 0)-category to gi…
The Scheme of Monogenic Generators I: Representability
Sarah Arpin, Sebastian Bozlee, Leo Herr +1
This is the first in a series of two papers that study monogenicity of number rings from a moduli-theoretic perspective. Given an extension of algebras , when is generated…
Costello's pushforward formula: errata and generalization
Leo Herr, Jonathan Wise
K. Costello's Pushforward Formula is not correct as stated. We verify it holds under an assumption of properness or of a weaker notion we call "purity." We then check many papers t…
The Log Product Formula in quantum -theory
You-Cheng Chou, Leo Herr, Yuan-Pin Lee
We prove a formula expressing the -theoretic log Gromov-Witten invariants of a product of log smooth varieties in terms of the invariants of and . The proof…
The Log Product Formula
Leo Herr
We prove a formula expressing the Log Gromov-Witten Invariants of a product of log smooth varieties in terms of the invariants of and . This extends results of…
Deformations of Modules Through Butterflies and Gerbes
Leo Herr
Classifying obstructions to the problem of finding extensions between two fixed modules goes back at least to L. Illusie's thesis. Our approach, following in the footsteps of J. Wi…