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CGP SeminarㅣSIMPLICIAL DECOMPOSITIONS OF WEINSTEIN SECTORS AND TANGLE CONTACT HOMOLOGY

기간 : 2023-03-30 ~ 2023-03-30
시간 : 16:00 ~ 18:00
개최 장소 : Math Bldg. 404
개요
CGP SeminarㅣSIMPLICIAL DECOMPOSITIONS OF WEINSTEIN SECTORS AND TANGLE CONTACT HOMOLOGY
분야Field
날짜Date 2023-03-30 ~ 2023-03-30 시간Time 16:00 ~ 18:00
장소Place Math Bldg. 404 초청자Host
연사Speaker Johan Asplund 소속Affiliation Columbia University
TOPIC CGP SeminarㅣSIMPLICIAL DECOMPOSITIONS OF WEINSTEIN SECTORS AND TANGLE CONTACT HOMOLOGY
소개 및 안내사항Content

In this talk we introduce simplicial decompositions and give a brief account for a surgery-type decomposition of Weinstein sectors that generalize the notion of Weinstein connected sum. Simplicial decompositions are proven to correspond (in the homotopical sense) to certain sectorial covers of Weinstein sectors as defined by Ganatra–Pardon–Shende. Our main result that the Chekanov–Eliashberg dg-algebra (with or without loop space coefficients) satisfies a gluing formula with respect to simplicial decompositions. As an application we define knot contact homology of tangles and obtain a gluing formula for knot contact homology of knots that are presented as the result of gluing two tangles.

 

★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/

학회명Field CGP SeminarㅣSIMPLICIAL DECOMPOSITIONS OF WEINSTEIN SECTORS AND TANGLE CONTACT HOMOLOGY
날짜Date 2023-03-30 ~ 2023-03-30 시간Time 16:00 ~ 18:00
장소Place Math Bldg. 404 초청자Host
소개 및 안내사항Content

In this talk we introduce simplicial decompositions and give a brief account for a surgery-type decomposition of Weinstein sectors that generalize the notion of Weinstein connected sum. Simplicial decompositions are proven to correspond (in the homotopical sense) to certain sectorial covers of Weinstein sectors as defined by Ganatra–Pardon–Shende. Our main result that the Chekanov–Eliashberg dg-algebra (with or without loop space coefficients) satisfies a gluing formula with respect to simplicial decompositions. As an application we define knot contact homology of tangles and obtain a gluing formula for knot contact homology of knots that are presented as the result of gluing two tangles.

 

★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/

성명Field CGP SeminarㅣSIMPLICIAL DECOMPOSITIONS OF WEINSTEIN SECTORS AND TANGLE CONTACT HOMOLOGY
날짜Date 2023-03-30 ~ 2023-03-30 시간Time 16:00 ~ 18:00
소속Affiliation Columbia University 초청자Host
소개 및 안내사항Content

In this talk we introduce simplicial decompositions and give a brief account for a surgery-type decomposition of Weinstein sectors that generalize the notion of Weinstein connected sum. Simplicial decompositions are proven to correspond (in the homotopical sense) to certain sectorial covers of Weinstein sectors as defined by Ganatra–Pardon–Shende. Our main result that the Chekanov–Eliashberg dg-algebra (with or without loop space coefficients) satisfies a gluing formula with respect to simplicial decompositions. As an application we define knot contact homology of tangles and obtain a gluing formula for knot contact homology of knots that are presented as the result of gluing two tangles.

 

★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/

성명Field CGP SeminarㅣSIMPLICIAL DECOMPOSITIONS OF WEINSTEIN SECTORS AND TANGLE CONTACT HOMOLOGY
날짜Date 2023-03-30 ~ 2023-03-30 시간Time 16:00 ~ 18:00
호실Host 인원수Affiliation Johan Asplund
사용목적Affiliation 신청방식Host Columbia University
소개 및 안내사항Content

In this talk we introduce simplicial decompositions and give a brief account for a surgery-type decomposition of Weinstein sectors that generalize the notion of Weinstein connected sum. Simplicial decompositions are proven to correspond (in the homotopical sense) to certain sectorial covers of Weinstein sectors as defined by Ganatra–Pardon–Shende. Our main result that the Chekanov–Eliashberg dg-algebra (with or without loop space coefficients) satisfies a gluing formula with respect to simplicial decompositions. As an application we define knot contact homology of tangles and obtain a gluing formula for knot contact homology of knots that are presented as the result of gluing two tangles.

 

★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/

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