Download PDF Moduli Spaces Virtual Invariants and Shifted Symplectic Structures by Young-Hoon Kiem

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Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures Young-Hoon Kiem ebook

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ISBN: 9789819782482

Publisher: Springer Nature Singapore

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE. It asks for the number of geometric figures with desired properties and has many applications from classical geometry to modern physics. Typically, an enumerative geometry problem is solved by first constructing the space of all geometric figures of fixed type, called the moduli space, and then finding the subspace of objects satisfying the desired properties. Unfortunately, many moduli spaces from nature are highly singular, and an intersection theory is difficult to make sense of. However, they come with deeper structures, such as perfect obstruction theories, which enable us to define nice subsets, called virtual fundamental classes. Now, enumerative numbers, called virtual invariants, are defined as integrals against the virtual fundamental classes. Derived algebraic geometry is a relatively new area of algebraic geometry that is a natural generalization of Serre’s intersection theory in the 1950s and Grothendieck’s scheme theory in the 1960s. Many moduli spaces in enumerative geometry admit natural derived structures as well as shifted symplectic structures. The book covers foundations on derived algebraic and symplectic geometry. Then, it covers foundations on virtual fundamental classes and moduli spaces from a classical algebraic geometry point of view. Finally, it fuses derived algebraic geometry with enumerative geometry and covers the cutting-edge research topics about Donaldson–Thomas invariants in dimensions three and four.

Dominic Joyce -- Research Interests - People
virtual cycles and chains for Kuranishi spaces. While I hope that my work . So Calabi-Yau 3-fold moduli spaces have -1-shifted symplectic structures.
[PDF] Wall-crossing and orientations for invariants counting coherent .
[141] using the −2-shifted symplectic structures of §2.2. It also . “Virtual fundamental classes for moduli spaces of sheaves on .
A Lagrangian Neighbourhood Theorem for shifted symplectic .
[4] Dennis Borisov; Dominic Joyce Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds, Geom. Topol., Volume 21 (2017) no. 6 .
[PDF] Three lectures on derived symplectic geometry and topological field .
Our second motivation is to understand why some very interesting moduli spaces are symplectic (or . Vezzosi, Shifted symplectic structures, Publ. Math. IHÉS 117.
Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures .
Book details · ISBN-13. 978-9819782499 · Publisher. Springer · Publication date. March 25, 2025 · Language. English · File size. 3.9 MB.
On orientations for gauge-theoretic moduli spaces - Semantic Scholar
Virtual Fundamental Cycles in Symplectic. 2019. This is a survey of the author's in-progress book arXiv:1409.6908. 'Kuranishi spaces' were introduced in the .
Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures
The book covers foundations on derived algebraic and symplectic geometry. Then, it covers foundations on virtual fundamental classes and moduli spaces from .
Recent Progress on the Donaldson–Thomas Theory - Google Books
virtual counting of stable coherent . These moduli spaces admit shifted symplectic structures and the associated d-critical structures .
Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures
The book covers foundations on derived algebraic and symplectic geometry. Then, it covers foundations on virtual fundamental classes and moduli spaces from a .
Deformation Theory (ed. 1st - 2010) - CERN Library Catalogue
E-BOOK. BOOK. Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures. Kiem, Young-Hoon. 2025 - Edition 1st. Springer. E-BOOK. BOOK. The .

Download PDF Moduli Spaces Virtual Invariants and Shifted Symplectic Structures by Young-Hoon Kiem

Free ebooks for download online Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures (English Edition) MOBI 9789819782482 by Young-Hoon Kiem#

Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures Young-Hoon Kiem ebook#

Free ebooks for download online Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures (English Edition) MOBI 9789819782482 by Young-Hoon Kiem

Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures Young-Hoon Kiem ebook