相关论文: Moduli spaces of framed instanton sheaves on proje…

This paper has been withdrawn by the authors due to some fatal errors that cannot be mended. The authors apologize for any inconvenience.

Another introduction to perverse sheaves with some exercises. Expanded version of five lectures at the 2015 PCMI.

This paper was withdrawn by the author.

The paper was withdrawn because of its significant overlap with a paper appeared recently.

A working mathematician's summary of many results on the derived category, perverse sheaves, and vanishing cycles. This is the August 2025 version, with a completely revised section on vanishing cycles.

The paper has been withdrawn

This is the second of series of papers studyig moduli spaces of a certain class of coherent sheaves, which we call stable perverse coherent sheaves, on the blow-up of a projective surface at a point. The followings are main results of this…

This paper has been withdrawn by the author due to a mistake in the section 4.

This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.

Perverse schobers are categorifications of perverse sheaves. We construct a perverse schober on a partial compactification of the stringy K\"ahler moduli space (SKMS) associated by Halpern-Leistner and Sam to a quasi-symmetric…

The arcane ADHM construction of Yang-Mills instantons can be very naturally understood in the framework of D-brane dynamics in string theory. In this point-of-view, the mysterious auxiliary symmetry of the ADHM construction arises as a…

This paper has been withdrawn.

The authors have withdrawn this article [arXiv admin].

The paper has been withdrawn.

%auto-ignore The paper has been withdrawn by authors. The completely revised version can be found under the following preprint-no: hep-ph/9910282.

We show that there is a perverse sheaf on a fine moduli space of stable sheaves on a smooth projective Calabi-Yau 3-fold, which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional, possibly after taking an…

This paper is withdrawn because its results have been previously reported in arxiv hep-th/0507200.

This paper contains material originally presented in the first submission of the paper "On the Optimal Control of Impulsive Hybrid Systems On Riemannian Manifolds" to SIAM Journal on Control and Optimization on the 28th of February, 2012.…

This paper has been withdrawn: it has been merged with the preprint to which it refers.

This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.