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pro vyhledávání: '"A, Bousseau"'
We study webs of 5-branes with 7-branes in Type IIB string theory from a geometric perspective. To any such a web $W$, we attach a log Calabi-Yau surface $(Y,D)$ with a line bundle $L$. We then describe supersymmetric webs, which are webs defining 5d
Externí odkaz:
http://arxiv.org/abs/2410.04714
Differentiable rendering is a key ingredient for inverse rendering and machine learning, as it allows to optimize scene parameters (shape, materials, lighting) to best fit target images. Differentiable rendering requires that each scene parameter rel
Externí odkaz:
http://arxiv.org/abs/2409.01421
We prove that every irreducible component of the coarse Koll\'ar-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi-Yau surfaces is a finite quotient of a projective toric variety. This verifies a conjecture of Hacking-Keel-Yu. The
Externí odkaz:
http://arxiv.org/abs/2402.15117
CAD programs are a popular way to compactly encode shapes as a sequence of operations that are easy to parametrically modify. However, without sufficient semantic comments and structure, such programs can be challenging to understand, let alone modif
Externí odkaz:
http://arxiv.org/abs/2311.16703
Autor:
Argüz, Hülya, Bousseau, Pierrick
We prove a correspondence between Donaldson-Thomas invariants of quivers with potential having trivial attractor invariants and genus zero punctured Gromov-Witten invariants of holomorphic symplectic cluster varieties. The proof relies on the compari
Externí odkaz:
http://arxiv.org/abs/2308.07270
Autor:
Bousseau, Pierrick, Wu, Longting
Let $X$ be a smooth projective surface and $D$ a smooth rational ample divisor in $X$. We prove an all-genus generalization of the genus $0$ WDVV equation for primary Gromov--Witten invariants of the local 3-fold $\mathcal{O}_X(-D)$. The proof relies
Externí odkaz:
http://arxiv.org/abs/2303.00503
Autor:
Argüz, Hülya, Bousseau, Pierrick
Donaldson-Thomas (DT) invariants of a quiver with potential can be expressed in terms of simpler attractor DT invariants by a universal formula. The coefficients in this formula are calculated combinatorially using attractor flow trees. In this paper
Externí odkaz:
http://arxiv.org/abs/2302.02068
Publikováno v:
Computers & Graphics, vol 109, pp 15-29, Dec. 2022
The movie and video game industries have adopted photogrammetry as a way to create digital 3D assets from multiple photographs of a real-world scene. But photogrammetry algorithms typically output an RGB texture atlas of the scene that only serves as
Externí odkaz:
http://arxiv.org/abs/2211.08047
Autor:
Bousseau, Pierrick
We present several expected properties of the holomorphic Floer theory of a holomorphic symplectic manifold. In particular, we propose a conjecture relating holomorphic Floer theory of Hitchin integrable systems and Donaldson-Thomas invariants of non
Externí odkaz:
http://arxiv.org/abs/2210.17001
Publikováno v:
Communications in Mathematical Physics 405, 108 (2024)
The spectrum of BPS states in type IIA string theory compactified on a Calabi-Yau threefold famously jumps across codimension-one walls in complexified K\"ahler moduli space, leading to an intricate chamber structure. The Split Attractor Flow Conject
Externí odkaz:
http://arxiv.org/abs/2210.10712