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Skip to search - Accesskey = s. Nikita Markarian’s mathblog. Manifoldic homology and Chern-Simons formalism. By nikitamarkarian on July 30, 2011. My preprint arXiv:1106.5352v1. Is mostly inspired by the perfect explanation of Damien Calaque of the Kevin Costello’s project. Given a. And a compact parallelized. A morphism from homology of the Lie algebra. To some manifoldic homology is constructed in the preprint. I guess that for a proper. This morphism gives perturbative Chern-Simons invariants of. Anoth...

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Nikita Markarian's mathblog | nikitamarkarian.wordpress.com Reviews

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Skip to search - Accesskey = s. Nikita Markarian’s mathblog. Manifoldic homology and Chern-Simons formalism. By nikitamarkarian on July 30, 2011. My preprint arXiv:1106.5352v1. Is mostly inspired by the perfect explanation of Damien Calaque of the Kevin Costello’s project. Given a. And a compact parallelized. A morphism from homology of the Lie algebra. To some manifoldic homology is constructed in the preprint. I guess that for a proper. This morphism gives perturbative Chern-Simons invariants of. Anoth...

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Nikita Markarian's mathblog | nikitamarkarian.wordpress.com Reviews

https://nikitamarkarian.wordpress.com

Skip to search - Accesskey = s. Nikita Markarian’s mathblog. Manifoldic homology and Chern-Simons formalism. By nikitamarkarian on July 30, 2011. My preprint arXiv:1106.5352v1. Is mostly inspired by the perfect explanation of Damien Calaque of the Kevin Costello’s project. Given a. And a compact parallelized. A morphism from homology of the Lie algebra. To some manifoldic homology is constructed in the preprint. I guess that for a proper. This morphism gives perturbative Chern-Simons invariants of. Anoth...

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May | 2010 | Nikita Markarian's mathblog

https://nikitamarkarian.wordpress.com/2010/05

Skip to search - Accesskey = s. Nikita Markarian’s mathblog. By nikitamarkarian on May 5, 2010. Nowadays the theory of quantum cohomology is treated as a part of symplectic geometry. But it is not clear (for me) how much information about the symplectic structure does quantum cohomology contain. Perhaps, the situation is analagous to the Morse theory, where the definition is given in differential geometric terms (integral curves and so on) but the result is purely topological.

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Perturbative Chern-Simons theory and homotopy BV algebras | Nikita Markarian's mathblog

https://nikitamarkarian.wordpress.com/2009/10/28/perturbative-chern-simons-theory-and-homotopy-bv-algebras

Skip to search - Accesskey = s. Nikita Markarian’s mathblog. Perturbative Chern-Simons theory and homotopy BV algebras. By nikitamarkarian on October 28, 2009. By the Chern-Simons theory I mean the following problem I learned long time ago from the Atiyah book. Be a smooth real 3-manifold. Let. Be a compact Lie group, say. For any connection on the trivial. Bundle given by a 1-form. Define the Chern-Simons functional by. It does not depend on trivialization only up to an integer times. Is a homology sphe...

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Hycomm=BV/Δ | Nikita Markarian's mathblog

https://nikitamarkarian.wordpress.com/2009/11/22/hycommbvδ

Skip to search - Accesskey = s. Nikita Markarian’s mathblog. By nikitamarkarian on November 22, 2009. 8221; I mean the homotopy quotient. This fact is implicitly contained in the classical M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa “Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes”. It follows from E.Getzler “Two-dimensional topological gravity and equivariant cohomology”. Or from part 3.4 of V.Ginzburg, M.Kapranov “Koszul duality for Operads”. On the other hand, it ma...

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December | 2010 | Nikita Markarian's mathblog

https://nikitamarkarian.wordpress.com/2010/12

Skip to search - Accesskey = s. Nikita Markarian’s mathblog. Spherical homology of a Hycomm-algebra. By nikitamarkarian on December 22, 2010. Of a homotopy BV algebra was a subject of some previous posts. By Hycomm=BV/Δ. A Hycomm- algebra is a special case af a homotopy BV algebra. Below I discuss how spherical homology of such an algebra looks like. Create a free website or blog at WordPress.com.

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November | 2009 | Nikita Markarian's mathblog

https://nikitamarkarian.wordpress.com/2009/11

Skip to search - Accesskey = s. Nikita Markarian’s mathblog. A kind of TQFT via BV. By nikitamarkarian on November 30, 2009. Of the spherical homology one may replace 2-sphere with any oriented 2-manifold, not only compact. It produces the following structure, that is not exactly TQFT as it is introduced e.g. in the Atiyah book. And many other places, but a close thing. By nikitamarkarian on November 22, 2009. Or from part 3.4 of V.Ginzburg, M.Kapranov “Koszul duality for Operads”. Be a vector space,.

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Nikita Markarian's mathblog

Skip to search - Accesskey = s. Nikita Markarian’s mathblog. Manifoldic homology and Chern-Simons formalism. By nikitamarkarian on July 30, 2011. My preprint arXiv:1106.5352v1. Is mostly inspired by the perfect explanation of Damien Calaque of the Kevin Costello’s project. Given a. And a compact parallelized. A morphism from homology of the Lie algebra. To some manifoldic homology is constructed in the preprint. I guess that for a proper. This morphism gives perturbative Chern-Simons invariants of. Anoth...

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